{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 锚框\n",
    "目标检测算法通常会在输入图像中采样大量的区域，然后判断这些区域中是否包含我们感兴趣的目标，并调整区域边缘从而更准确地预测目标的真实边界框（ground-thruth bounding box）。不同的模型使用的区域采样方法可能不同。这里我们介绍其中的一种方法：它以每个像素为中心生成多个大小和宽高比（aspect ratio）不同的边界框。这些边界框被称为锚框（anchor box）。我们将在后面基于锚框实践目标检测。\n",
    "\n",
    "注: 建议想学习用PyTorch做检测的童鞋阅读一下仓库https://github.com/sgrvinod/a-PyTorch-Tutorial-to-Object-Detection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import torch\n",
    "import sys\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 生成多个锚框\n",
    "![image.png](attachment:image.png)\n",
    "注: PyTorch官方在torchvision.models.detection.rpn里有一个AnchorGenerator类可以用来生成anchor，但是和这里讲的不一样，感兴趣的可以去看看。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def MultiBoxPrior(feature_map, sizes=[0.75, 0.5, 0.25], ratios=[1, 2, 0.5]):\n",
    "    \"\"\"\n",
    "    anchor表示成(xmin, ymin, xmax, ymax)\n",
    "    Args:\n",
    "        feature_map: torch tensor, Shape: [N, C, H, W].\n",
    "        sizes: List of sizes (0~1) of generated MultiBoxPriores. \n",
    "        ratios: List of aspect ratios (non-negative) of generated MultiBoxPriores. \n",
    "    Returns:\n",
    "        anchors of shape (1, num_anchors, 4). 由于batch里每个都一样, 所以第一维为1\n",
    "    \"\"\"\n",
    "    pairs = [] # pair for (size, sqrt(ration))\n",
    "    for r in ratios:\n",
    "        # (s1,r1),(s1,r2),…,(s1,rm)\n",
    "        pairs.append([sizes[0], math.sqrt(r)])\n",
    "    for s in sizes[1: ]:\n",
    "        # (s2,r1),(s3,r1),…,(sn,r1)\n",
    "        pairs.append([s, math.sqrt(ratios[0])])\n",
    "    pairs = np.array(pairs)\n",
    "    ss1 = pairs[:, 0] * pairs[:, 1] # size * sqrt(ration)\n",
    "    ss2 = pairs[:, 0] / pairs[:, 1] # size / sqrt(ration)\n",
    "    base_anchors = np.stack([-ss1, -ss2, ss1, ss2], axis=1)/2\n",
    "    \n",
    "    h, w = feature_map.shape[-2:]\n",
    "    shifts_x = np.arange(0, w) / w\n",
    "    shifts_y = np.arange(0, h) / h\n",
    "    shift_x, shift_y = np.meshgrid(shifts_x, shifts_y)\n",
    "    shift_x = shift_x.reshape(-1)\n",
    "    shift_y = shift_y.reshape(-1)\n",
    "    shifts = np.stack((shift_x, shift_y, shift_x, shift_y), axis=1)\n",
    "    \n",
    "    # 这个地方应该是用到了广播机制\n",
    "    anchors = shifts.reshape((-1, 1, 4)) + base_anchors.reshape((1, -1, 4)) \n",
    "    \n",
    "    return torch.tensor(anchors, dtype=torch.float32).view(1, -1, 4)\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w = 728, h = 561\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "torch.Size([1, 2042040, 4])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
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       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g clip-path=\"url(#p154b6233ec)\">\n",
       "    <image height=\"136\" id=\"image2c372bbe49\" transform=\"scale(1 -1)translate(0 -136)\" width=\"177\" x=\"33.2875\" xlink:href=\"data:image/png;base64,\n",
       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     "metadata": {
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     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from PIL import Image\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython import display\n",
    "\n",
    "def use_svg_display():\n",
    "    display.set_matplotlib_formats('svg')\n",
    "\n",
    "def set_figsize(figsize=(3.5, 2.5)):\n",
    "    use_svg_display()\n",
    "    plt.rcParams['figure.figsize'] = figsize\n",
    "    \n",
    "set_figsize()\n",
    "img = Image.open(\"Datasets/catdog.jpg\")\n",
    "plt.imshow(img)\n",
    "w, h = img.size\n",
    "print(\"w = %d, h = %d\" % (w, h))\n",
    "\n",
    "X = torch.Tensor(1, 3, h, w)\n",
    "Y = MultiBoxPrior(X, sizes=[0.75, 0.5, 0.25], ratios=[1, 2, 0.5])\n",
    "Y.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们看到，返回锚框变量y的形状为（1，锚框个数，4）。将锚框变量y的形状变为（图像高，图像宽，以相同像素为中心的锚框个数，4）后，我们就可以通过指定像素位置来获取所有以该像素为中心的锚框了。下面的例子里我们访问以（250，250）为中心的第一个锚框。它有4个元素，分别是锚框左上角的x和y轴坐标和右下角的xx和yy轴坐标，其中x和y轴的坐标值分别已除以图像的宽和高，因此值域均为0和1之间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([-0.0316,  0.0706,  0.7184,  0.8206])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boxes = Y.reshape((h, w, 5, 4)) # 注意其中 5 = （m+n-1）\n",
    "boxes[250, 250, 0, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[-0.0316,  0.0706,  0.7184,  0.8206],\n",
       "        [-0.1869,  0.1805,  0.8737,  0.7108],\n",
       "        [ 0.0782, -0.0847,  0.6086,  0.9760],\n",
       "        [ 0.0934,  0.1956,  0.5934,  0.6956],\n",
       "        [ 0.2184,  0.3206,  0.4684,  0.5706]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 以（250，250）为中心的所有锚框\n",
    "boxes[250, 250, :, :] # 这里应该有5个"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以验证一下以上输出对不对：size和ratio分别为0.75和1, 则(归一化后的)宽高均为0.75, 所以输出是正确的（0.75 = 0.7184 + 0.0316 = 0.8206 - 0.0706)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "为了描绘图像中以某个像素为中心的所有锚框，我们先定义show_bboxes函数以便在图像上画出多个边界框"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bbox_to_rect(bbox, color):\n",
    "    # 将边界框(左上x, 左上y, 右下x, 右下y)格式转换成matplotlib格式：\n",
    "    # ((左上x, 左上y), 宽, 高)\n",
    "    return plt.Rectangle(\n",
    "        xy=(bbox[0],bbox[1]), width=bbox[2]-bbox[0], height=bbox[3]-bbox[1],\n",
    "        fill=False, edgecolor=color, linewidth=2\n",
    "    )\n",
    "\n",
    "def show_bboxes(axes, bboxes, labels=None, colors=None):\n",
    "    # bboxes = [[x,y,x,y], [x,y,x,y],...,[x,y,x,y]]\n",
    "    def _make_list(obj, default_values=None):\n",
    "        if obj is None:\n",
    "            obj = default_values\n",
    "        elif not isinstance(obj, (list, tuple)):\n",
    "            obj = [obj]\n",
    "        return obj\n",
    "    \n",
    "    labels = _make_list(labels)\n",
    "    colors = _make_list(colors, ['b', 'g', 'r', 'm', 'c'])\n",
    "    for i, bbox in enumerate(bboxes):\n",
    "        color = colors[i % len(colors)]\n",
    "        rect = bbox_to_rect(bbox.detach().cpu().numpy(), color)\n",
    "        axes.add_patch(rect)\n",
    "        if labels and len(labels) > i:\n",
    "            text_color = 'k' if color == 'w' else 'w' # 用白色显示文字，但是如果框的颜色color已经是白色，则文字用k(接近黑色)\n",
    "            axes.text(rect.xy[0], rect.xy[1], labels[i], va='center', ha='center', fontsize=5, color=text_color, bbox=dict(facecolor=color,lw=0))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "变量boxes中xx和yy轴的坐标值分别已除以图像的宽和高。在绘图时，我们需要恢复锚框的原始坐标值，并因此定义了变量bbox_scale。现在，我们可以画出图像中以(250, 250)为中心的所有锚框了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 252x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "set_figsize()\n",
    "fig = plt.imshow(img)\n",
    "bbox_scale = torch.tensor([[w, h, w, h]], dtype=torch.float32)\n",
    "show_bboxes(fig.axes, boxes[250, 250,:, :]*bbox_scale, ['s=0.75, r=1', 's=0.75, r=2', 's=0.75, r=0.5', 's=0.5, r=1', 's=0.25, r=1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
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     },
     "metadata": {
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     "output_type": "display_data"
    }
   ],
   "source": [
    "set_figsize()\n",
    "fig = plt.imshow(img)\n",
    "bbox_scale = torch.tensor([[w, h, w, h]], dtype=torch.float32)\n",
    "show_bboxes(fig.axes, boxes[w//2, h//2,:, :]*bbox_scale, ['s=0.75, r=1', 's=0.75, r=2', 's=0.75, r=0.5', 's=0.5, r=1', 's=0.25, r=1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(728, 561)\n"
     ]
    },
    {
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       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_15\">\n",
       "    <g id=\"patch_16\">\n",
       "     <path d=\"M 74.682021 71.12342 \n",
       "L 113.214052 71.12342 \n",
       "L 113.214052 58.284358 \n",
       "L 74.682021 58.284358 \n",
       "z\n",
       "\" style=\"fill:#00bfbf;\"/>\n",
       "    </g>\n",
       "    <!-- s=0.25, r=1 -->\n",
       "    <g style=\"fill:#ffffff;\" transform=\"translate(78.682021 66.083577)scale(0.05 -0.05)\">\n",
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       "    </g>\n",
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       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"paf3833435f\">\n",
       "   <rect height=\"135.9\" width=\"176.35508\" x=\"55.309801\" y=\"21.008769\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 252x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = Image.open(\"Datasets/catdog.jpg\")\n",
    "print(img.size)\n",
    "w, h = img.size\n",
    "X = torch.Tensor(1, 3, h, w)\n",
    "Y = MultiBoxPrior(X, sizes=[0.75, 0.5, 0.25], ratios=[1, 2, 0.5])\n",
    "boxes = Y.reshape((h, w, 5, 4))\n",
    "set_figsize()\n",
    "fig = plt.imshow(img)\n",
    "bbox_scale = torch.tensor([[w, h, w, h]], dtype=torch.float32)\n",
    "show_bboxes(fig.axes, boxes[250, 250, :, :]*bbox_scale, ['s=0.75, r=1', 's=0.75, r=2', 's=0.75, r=0.5', 's=0.5, r=1', 's=0.25, r=1'])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，大小为0.75且宽高比为1的锚框较好地覆盖了图像中的狗"
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 交并比\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算相交的像素面积\n",
    "def compute_intersection(set_1, set_2):\n",
    "    \"\"\"\n",
    "    计算anchor之间的交集\n",
    "    Args:\n",
    "        set_1: a tensor of dimensions (n1, 4), anchor表示成(xmin, ymin, xmax, ymax)\n",
    "        set_2: a tensor of dimensions (n2, 4), anchor表示成(xmin, ymin, xmax, ymax)\n",
    "    Returns:\n",
    "        intersection of each of the boxes in set 1 with respect to each of the boxes in set 2, shape: (n1, n2)\n",
    "    \"\"\"\n",
    "    # PyTorch auto-broadcasts singleton dimensions\n",
    "    lower_bounds = torch.max(set_1[:, :2].unsqueeze(1), set_2[:, :2].unsqueeze(0))  # （n1, 1, 2）max(1, n2, 2) = (n1, n2, 2)\n",
    "    upper_bounds = torch.min(set_1[:, 2:].unsqueeze(1), set_2[:, 2:].unsqueeze(0))  # （n1, 1, 2）min(1, n2, 2) = (n1, n2, 2)\n",
    "    intersection_dims = torch.clamp(upper_bounds - lower_bounds, min=0)  # (n1, n2, 2)\n",
    "    return intersection_dims[:, :, 0] * intersection_dims[:, :, 1]  # (n1, n2)\n",
    "    \n",
    "# 计算交并比\n",
    "def compute_jaccard(set_1, set_2):\n",
    "    \"\"\"\n",
    "    计算anchor之间的Jaccard系数(IoU)\n",
    "    Args:\n",
    "        set_1: a tensor of dimensions (n1, 4), anchor表示成(xmin, ymin, xmax, ymax)\n",
    "        set_2: a tensor of dimensions (n2, 4), anchor表示成(xmin, ymin, xmax, ymax)\n",
    "    Returns:\n",
    "        Jaccard Overlap of each of the boxes in set 1 with respect to each of the boxes in set 2, shape: (n1, n2)\n",
    "    \"\"\"\n",
    "    # Find intersections\n",
    "    intersection = compute_intersection(set_1, set_2)  # (n1, n2)\n",
    "\n",
    "    # Find areas of each box in both sets\n",
    "    areas_set_1 = (set_1[:, 2] - set_1[:, 0]) * (set_1[:, 3] - set_1[:, 1])  # (n1)\n",
    "    areas_set_2 = (set_2[:, 2] - set_2[:, 0]) * (set_2[:, 3] - set_2[:, 1])  # (n2)\n",
    "\n",
    "    # Find the union\n",
    "    # PyTorch auto-broadcasts singleton dimensions\n",
    "    union = areas_set_1.unsqueeze(1) + areas_set_2.unsqueeze(0) - intersection  # (n1, n2)\n",
    "\n",
    "    return intersection / union  # (n1, n2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "利用交并比可以衡量锚框与真实边界框以及锚框与锚框之间的相似度"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 标注训练集的锚框\n",
    "在训练集中，我们将每个锚框视为一个训练样本。为了训练目标检测模型，我们需要为每个锚框标注两类标签：一是锚框所含目标的类别，简称类别；二是真实边界框相对锚框的偏移量，简称偏移量（offset）。在目标检测时，我们首先生成多个锚框，然后为每个锚框预测类别以及偏移量，接着根据预测的偏移量调整锚框位置从而得到预测边界框，最后筛选需要输出的预测边界框。\n",
    "\n",
    "我们知道，在目标检测的训练集中，每个图像已标注了真实边界框的位置以及所含目标的类别。在生成锚框之后，我们主要依据与锚框相似的真实边界框的位置和类别信息为锚框标注。那么，该如何为锚框分配与其相似的真实边界框呢？\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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uP7sT4umZ3zuNeWYpHJzOePYq39k/Xh8+Lw+muffwiinQchUVmo+pcXb69Zw8Vky4UFpim5lfx6VZhZQ4oFpj+DqqN+JXMlUtffJWo7i7kenSov3M7UL4SRDHFXFTzqEazF03fIGJiMibCB5eHsMgnR2oV8ylp7CnGuXDjFxmanC6ExhcPS6sEeRbeOimvk1JQ8wEM7qpZdv2DLqn9qKmpxeTCxnrxo+yu6k3JUkQ6GYuMt3LhavKZZNyfR0zgtOHL6KJzxHQhu5u9IYmQp+LiWuXhdbPqVNVJn/VpmtroOjAGB28FIlajYPIPG/a23DNurGHxgDMEDnFF3lUQgIwWOCQvFsIz8naDLLL1haON0bbMKjPt7i5DB926RcM0vg038BpstKMzQhLxVCGLz+4upDDHse9QmEVL7lIjB7/IumeyGvTfYwq8K2XQhUnWdncPGY6MefcA8luDu+zxGqNLVsk1ExYZ2CsPCzEVgtLUxFGNXKbc9ZDRdeg1Tqs/fhdVH/xoIz8OF7+BIC3HrDlQtMfrl9qEtnqSX3ei3fIatiSweRt+8Y2moNX5XkLFtDZCtxW4BY81SYhIEaKJnGF+Tta8CTzn/tnKBIcnNyUZT2XarngSoRC49XLA2hoXmGL1shZelFYUBbKDDn2TmPJ8t3onmEhH3RT4CB6yPRA0OI7xqUoe85OgNszKty0CGPzb2N0XZYk/duP9n4TA0cNt6gPP8Dcd/8YrV+9hZFznWj8TbPmjYWp3XPI4ISao7Q2jQswqHTeDzxKuljNmgY+Y+uPG7oV904T4eL01hWozdzKy8N78+jaPbZSxVycy5qP5eFst/X5eqqYcFEUFqnhIK2V74+ZKnJvqqW30uVBJZTEP/nMhcmg9mLAII6kMW+8vYaH2A3wdbnA6aEm3gTXVmswfpa0MzNlujGpBj6hXzpoXn8Q04ZkLZjP45iWLWahTp4/oGtH6TYlfSf6vv3IYhg2M6k08tRmE7eoD5Z/LhNOcieIhD0h5KV08eFiyXSewZFOYpirwG0+IK61NceamAu+Dtg610EF2NplTsflUl+Eq89JJRDwPKvB0e22z3fUOyn4GK406p0SkPnZ0GTxs3ZtoifJmKiMvl9ybQIddAWODB3ENSVg+NIacTwnu/bj6hVbuKAkrFHbOY2Tq00YOXBLugPtxRt03TKXsY5Lw3nsaslgjhg3vkmNhMsJttY0yFvVXK2xuK5WnIuJb6g0R+zri+NpjA5sZvD+LVyjG7UUN+tZL0nN4T54LjNQ6ZUmXT2rXx4Dw1qq4tP+shBHWrQklxarIEEHs8Rs9vxXHF/+L1DXA2z+GjQadv/HGP+7f8AvZ2/oyIfktoN1PHgPALlIyTMiu4YmcOJ6G87frsOcdl+tQ81r+5FtvxidL2OhOIMT1g18glbxLXhJe4BUoIgazf8zGByjdbob2A7sWh5GUzO99xzMT2GNNEtOFS4iENL8SzpzIejQOi5dXgL2CVcyujkuWTGX0CLGVN6CmJBERKt9gC7pSEiohCWrXxul66Kun/+3n2AOVfhGrSFY0KsXXkLjl78IzM7gOz/K4FKHYc1NaGaqaK2AIbdTwWAmu55Kd5r6L2+59Sew2IJ7pzWIYo+/6+xBnESu/aOOoszMLrw8MhjfR3PctUj7b1Irbz6Wh7PZ1uctvGnCBbsv0I0P6nYPdfiMEJU39mRb6gpfPetBnzdrdqWawFEfc7q9Wm4s5I5iaKvIZ6+L/C7XkXjA0FNfPCousVIadaNGPH1CDC0U6y5mqfmu7bNM2oL5JEFJsRlUHhF5uZFaxe9GtrMOTXRgfZ9ygxIbCdjdwhHiYm2ICtP+7Y5bVIwoGwdraSMnrQAt8DudnchiDNeiIisUoj6QgCF91BWjqTRPBRhIS4gyWiM0IepaSYcoMZMTMVVGNiMoxi6b6wNOXQSqMxgZuocGuqVMukIbia3gHp6TS7hqxaZ7EIJnH+YP3cQkMXvSQkOMTMPYiuOTTmXKuXDIOSinGAmzWku4is77mEk2PUxM4QWw+9BgSwbZK+L8gnmVcFKbLEFSJmKBY7UGWT7PNAPQrTIFNq6ksgvFC418oRTxd1Fbs/imy2STm517RuaJrsGf4dqPX0T32X580mjqnR/04t/n38d7v4iEC+orKTsW6Tzu4U6M1/bi6sJ+gC2BRJsuokne6MKa5JY+cSDZKFcHiQms3wH7RJp+6wmYm72ic2ItexJXPsq3hpxazDMXPPc8tGrQdN1x16BSOMSUMVSRUDTMEaaGcoremNYMc/+kWxEXR2dw3mknPyqhgvaI5mH2CqAzfJWg63f/+xKft/i870zFh/YlAb6mlRYnFTB0W+HYPUkj/URZ0APzYP3WWn/FcXkW905fqyWtMG/5JDp4Srgcu9fTRyUs8W2S5Mq4h26NlGdqSOFBdD3pFqnKz8dknKO2Pn+hJyZcMNFiv+8JtPJEWEFjSwYwXTuIUF3fj3HkQQOeXR3A5GppIAuTsMhT8Auo2nSprqS0TfKl1WqmNjcxMz5lmDBgjTKVowQAIvK9QvN9ZRgn6eN+cgMRzKdhnZDMu2vhULVvO3AQjWM3Ig0haXfJElAppknjmmwSJoHoRFcVcFm1Kvql2zrs63CjQ+OsJT4QpU0OCeaB3xsHwCOmzMwpGOo79XXM8ChczRRWmLXhOxxhsUb4afq8LXg8yN0uh+l9iIRl5XpQ9MyFVbsggLX78QqAQXIt4dcz8jpg6CtjSZjVgudCdGhVMC3iGlq65jS6hUjiQBYfdy4oRoLronQ+y4Xdzqf2xFrnveIjkjQX3b6kaliExXzXOs5duYmjXRNgvFajtZeqqKeR6EmvQYN5/fnVy3hwIGcJFtTllz9OH897F2u0/hxmVkHCwgbRO2mN5dvxenpxbjSDSVYQOUKuysgCygwaD5+xFC30mhmE+oOe7zj4lT5eywUVRO2ylDtG5eUErTUUL4DWpWm58NMq5V4qbuorSqt0NWI+T9K8iJ1ZMc8ludZdoaTi7z3pspwAKywEM744erN8uq7n1Arm//Ex8O/qsMupCvgAc1crd1MUFa8VMAfWrDMX2qIYwyvWqHjEFll/8YZTzLO1d7ptpHHhW9LokoPVNnGd9RDQEbsIw81J/MgweA2ouaaVUXksTuUEzYjdIvWk5qMfZ7fVz9NzZYULvhWEbi3q5Y+tzRNDSdpROsFPxPa1NZy8Ij9ApjYG7OcrC9mdp0TBovBASAJL2h1iJJfv8cU7pNVMfcitcAVyYSZviIWyk/Zo7goxi2RxmDAOvCofQym0sKayFyeRxOQI6Tw75N7RLWvn2zHyOP/mOlqPVfEHdZT7VKH2FX5HbZzGK36FTyyrTyBSifi2DuMwuorXv4awoOOKBRI/GiXnhNz4iXA19BT6UrSwQPiYGm6CEhic9qytAqf7SFAUvt/O6xIejTMF14u7RSmczQospqXrDI70RMIbWWgiwULNO8rtuVkjpjWlNBsUrFVDLQE7+eYuldz9ZUF8mVw6xPc5CvvgmrkVjaB+qPMPkX87McP90v/df8jTLGuzw5u4BlXXHvwY3/m7T+PrfA5ARcrfF+j3MR55vqNnpuTbALWQUIVXaoFBaXFK0kASI17aRR9Uo29u0nhHgrfZLg7HGI1YioIRzKBq5ZlnDcVyy7WYIIgIxQBZHPtwZLZwWrJU0NkwtlgQU2WVqea5bECCEM4uJI4bbqzJRoSiN9oN13hXlK6rtO8u4ep7QOPvfNb+vsWHH+Dtv/0uvjH7Elp7exJuihL9ElZ4VWChX6KnRJtpz7Y1Q6ykJDrUsyY/9lioHHq3NddfsV4lf3BRzqEnvHeK9om5LNx3MxiXrpJ7uvqQvTKMjlPGGUNvh+ReRgo+fW5TJjRcIBc955GwofnobYw/MpFH8SffirEVEy4EYTU3aXkgiky9itDdtxe0aZ6tJHiKKBOToa6S4/b1CGsF1Zt1XUHSNKBk0zwV6jlkKn0+Y0yQYrIIL/XBKC1tu1dTigaLDaGwxnbPoQzm8rfw8ABw3us+labzKg1pBKU5ci2dS4bKWf5vXAtpuhSY5Qr3O3XQVL5RuMqPd6k5oTeU5raYy5zYPMh6lMO00nyQYEqHROsPFnTPoI/2JTFK3CLXjYUjPb7gb8pvvpA2nhR4G/ozhAe1Hq3yDP92K542FdtyYb0u9MBnIpDwgTuVcQnn2Lw9gVffHEDT6BLmU2sPVZ8UI5lDN38scQCXLhznD2+5H4Skw8/0J+iVEOwLfd1dCWdEU+iQraZlqvlP5XeT1+BPL+M/DM9gee1n+Dk+hrf/7CV871tfFFaEX9zC9/4oj2v/LISyvz3Ti/lPHETf94/H14B1G6BkVojRld9gafAIBNE4+YROIXxD3xZmDkacZoi3nnWmLCM7m8wC7HCKucz0RDJCot3yymfN4Mg+c8lqztrV0JOVV33Y7Zi4FVHMw2H72zdM34gm9+Fuey9fSGF/C0VoTfXHYONVyg9t0sdEI+u5J1nlonhO/QPe+9d/wdvE6v/1ALI/iop/9K/v4xO/TW6Px9GQYAkTNxBmcCK1tZJonHSs8ymtEpRFUatUaCutv/g6eJb3TkaYz01GLuw856XLoODpaB3JK9XdvYyVsXnMaWuSGjP3l6x0wK4heRPnhufjBnF2m/ccPFdMuDAJK+EiCCQRUIPR2r4XR+rdqz/ta1ZJo0DmLN9tLPZtUZJwW3cb04Sswrbt/fbH4eS3GOjucOFnH0nDxcZQCSoqHWkwi/p0G8ws56OJbhJIlp4zqkipBekVHw/UGlTjNaUnn/3rS+jmA37RO8X8KP/5SfnKuh1BEk3qCzPG1Ba1CKOidCh2FkEtVBKuzMVMsqJ6p3PLAJcfWanc1+I5viCtdFTXaxRjb8Q0t7RfsIs1W4Jog1SMp8qvNNNWDYbPrU2w6Kvig7V9zOiaxI1yayuRU3equUEFxDCjul2N6goG5TkJElS0y9++nLQ2ZHCiVs1n+U0Mp2v0qBkVaSHzM9ImVp5CKCpmuZDpnL6464X62p9680+o2xst2kzXZFpXEuu1tYRzzhkr88vlLr3yVmFERuvMiHwawaexBruO4T99P8G8+G/24uvf34uvp8CCrBbEHFTzGSBiZCeg5qM+00XfGaB1z7ffzfA5ofmpaI+I5rOqkD646rMe2zRDpFbrTPpwW3Na7B2qVPoteS5bNFXWf38Ji/eBbUz/Iyafy2alhtDCkktwk8lAWQfbo1bpeUi0p7mN8TwqceVvpUxN8Jpv4MPrUT5vSNLyaK/2CXDenEUiU9D1QnOqSOn6Na+F/cnndHTCEgLWGNLYOHNry60/ex1sib1T0XAai2Zxq5fFRxoX/lB/eK4bNINoTGSRV2NPaz+6lIZjKY/amz5bgMapIgr+loNzwQK3/Mtf+eijjz7a8r0IHQgIBAS2LAIRE2cT6C3bodDwgEBA4IkjwIyycR7xiVcYKggIBARSIxCEi9RQhYQBgYBAQCAgEBAICAQEAgIBgYBAIQR+tdDL8C4gEBAICAQEAgIBgYBAQCAgEBAICKRFIAgXaZEK6QICAYGAQEAgIBAQCAgEBAICAYGCCAThoiA84WVAICAQEAgIBAQCAgGBgEBAICCQFoEgXKRFKqQLCAQEAgIBgYBAQCAgEBAICAQECiIQhIuC8ISXAYGAQEAgIBAQCAgEBAICAYGAQFoEgnCRFqmQLiAQEAgIBAQCAgGBgEBAICAQECiIQBAuCsITXgYEAgIBgYBAQCAgEBAICAQEAgJpEQjCRVqkQrqAQEAgIBAQCAgEBAICAYGAQECgIAJBuCgIT3gZEAgIBAQCAgGBgEBAICAQEAgIpEUgCBdpkQrpAgIBgYBAQCAgEBAICAQEAgIBgYII/FrBtyW/XMelnl7czU2ge5/MvJBHQ34Hps9msE2Vd38GJ1+vxkjXbhkj8g0uqwTmbwbjUznsMaN8ZZrvywg/vDyAptmDdq1EmAgAACAASURBVDtlOfxu9TjmdXujCujdADoxcqyKIxdH29BxJXpvhVr6jDJsrArm40LqcPpCP1q3RyU+vDqG7r9ewYMH63j46GPYVf0beFG9/vB9PHhUg9/9Wg7dh6tVbPRLY9CexxyAxs4zuv1RglJDP8O1b/8pLh34LkZaPhXPTGN2CvGxxBLONV9EjdO3eAFGDLf9Bo6UkkdmJ5zP7yy3v+nbas+ZQvObGubM8Y1g5awNbsfYigGeGYzPKfOtN8zY38MJd00C8GHL9SesKyq/cPs8LbDWkP3eV7+qw1yj4Dk3jEk7u//Jqa/4OvUXA6ccK5Vci0ixDgkv3RdjDVvlGQ/W2t6i88roDrCBta/GHUPG/mQVrh5ond/EUXOOO+tKpYz9JqwPe256ypcFbWh8Y41REYVpM69Bvb+lpVWFaGGhd6pN9CvqunbYpseCJtR49gozLwCezzMw1xavT5j7rJOHHlU+zyszylo75ouKhZPngVmFwCOJhpspRThq9xLO9awhS7yXOS8pPAz0U3zBeV0BHsXiq+TcQs7LZ8V7YsSUvO4J22EUX+tGHb4g15vHE6fNvrq3eFyFhQvgldo6DJ5qw2TCZqoWSrbzDB4CkcABIOsSfbkgGOOCi2Djo7DtWD+mMYCm5rzVDiZWt2kxKEGoeF3R4o7SCgIePftCvnwinSDWbp5tRzsxeXQNP/zqt/Cd3+rE5De+EAkXANZ+NIDW73wbv3zxe/jGoY85RJUYywmMKGElkeA6jK/bCPn86PoPMPDWY3z+C4+8KRavz7AQYwmJzFxexGTLccyrdnhzVy5yz2s5oH0ai8ccgdVbRfFN0mYavIUAqELr2Qm0Jr124iuNlX9eGXMqYexj69Fpp/24hKtX6nDkghCy9bsDnRhf7UVT871kZkHTCnszE4xkJMi4a4ieNaMNQIztGC4dsIVw3RYd2I3uqQl007OkMXFhSTI+O+3+7OmawHyXLgiCYTWFY8o3BvQVa0NUxuLreczV16FxLE3bo3wilG59UtqtOa/c/m7G8250D91EQ/NATKFTrHYaS2JEXDpXLF/y+/Tjm1RGMdps50tJq+5X4Wgn0NHehrvuvg2JX/sAUFABtI67y3U40mevsW3HOnF6thfnLzfFlF6Kf+A21+cwPTWheQh6JxR7w2iwFHweJQrlNRWeNgis9Bhw4p7WI/Em88fc2h1a6b7m5904WjuMyYUMurV+cR2XhvPYlRO4EU3IyrC3CCfSv5dQImM/UXnuz2CAFVsrzFepaCDvPNMbzxhFGUoOLY5K5RHxokm5i8wByrZZtDmpiVs5vsLCRRX2dPVj/jXSit/EYtdum8jyZAMztaYG/qkBKKVS0t6bf5OxCWkuho0vAotAcl0ZZFvMFpQQvr+EuTWg6Q92W4IFlVBdUwNgBXPL7wKH6oB9OcxP5fyEgDLEFhsRjJvFG/P+Ct5+oQ6NuIHp1XVmpnUmC+NeNIyJN4JIrWOSiU+KzUAXuMHA9gxOtLR5N65YyffXcKf+ILKJgk+coWZhVG9ssl+aeY7VYEdsAKtX3xxAk2GhICGZLCKnO+0qvE96Xqi3UqjSG5KKL/C7cJOFxOk3B9BgtCPKMYOO5hn9aG1SV5zxd9bfnJEPhdbJ9gz6O2+gaXgGrxZgHHQjCgUWpjG4nMH4WZvx8WepwSt6jhDDBNDKS/MnGCLBQIKsnq8vodVjIbXnlVhH2U5ayyn+tvK8StG9J5KE1sRQHg1yPB6u3gWwo3BV92dw/gowB0XniK7PYFLTAxUviplU87qlD+MYNizeJY5voVYVoM32nCqRVm2vwh5ieneSZ8IMjq7eQIdn3Q+2t2HQaJ+psHh4WSqW1vJoaI9og06+bOIlhSzFaLOyUaeUFlCydvRbPAfvtbMH8apenzLPsrmnR+WYocY0tNPMUCBs7flOOj0PjHiLPhrxpQb3dPXh6ugS8JrMuTANthSxZwntX8DkFYcBb+nD9M6L0X5SFo+yhHPtQtCel14d1ALGQVvJSu1NuvSCplLaBF5NKtOyOcObxlO0KOcJ02ZPvc9LVMWEC9/iMZkCwewI2OYMgmMSmzhTT+kzOPGk0N6ewchURpaeoAngjTnSnqqm2IRZEkHeJIC5MZMoqhyAYoyEJsKub3F0Bh1J+biIOpw2ilLBR/+0gjlaRL/zkoqSvx9gfvY6iRjIfqnOeVfJx8dYvPUInztUjU9TsY8eewq3tW+E3Xl2oxn2WLhMDYjAyO8uB5jzSFcaE5DojWSWpRaNCO6u5uJa4odv3sBc7XGtGdN1qAAx1PUHMW1sXEqzzfOjmHlelWP9loeV0m7xOjTckOj5mlW+54HmuOWmSGmIYSbc/O5DvLY11uu4lCcNWA7b9u32aNk8dcoo1W4rRcKas9IkPAit5xjeuJ+xXAgTksvoGVxdyGGPcuUkd42839KmXDncORljEAwaFxfaZbULeTSNkbJFWtG6zuB0Ty9OXrbdRCi1Oa+0Wx/hRMI64yVcHO1+ys2VI7fivLJ7Ez2ZwlwUGw8J+uG63Yh0hd7JkkjA0HMCQG11Mi2QWk6yWpjMFJBDd5frMkjrynG7grCIMW1Ubptpx9egPzYGhWmzOac6yqJVEAorxihjr3tm/h13aKtx63hjdgXZHHkE3PQotszEAi8zxgrTOiKaN1WNyeY2XJWWFLFH07z3MJGadlkl6QeimxW3XMSUTL55IOeKbkn5AZMnUwLu3CkqbwYNszlM5+5Z+y+n14w/0fFyeRTq10WgpS6BF3KUSZZr9sb2fO4Dz4V+6QpmWtZU2TQnJiwhNIbyZtHmxLUba9GWi6iYcBFnEsQEq+msweAskMUMJkkTaPqxOnCZgga/kkyGk+yZeBSEOb5BLY76zzCIhVu46cnaCrlYPdnf/slbwMsZ1JuT9MN1zP/VX+LkG1Xo/vNv4iufERkFsTUK0QxQBuNDRnwpwZ++hfdqD+JFrOCTLwNYXY+5u3mLmx1DB8+H4u5m/nnhOXPhaLMil5f9ThN2I9t5EZNrALYLYu7bXNdWV4Arwzh3yO+jTSZlLEOYnU0mBEIjpIRJk8g7DYkeaeNR2qUoVoRSYyU2bOCgVUKisEtCKaUkaw7aIqaWhaYdyJJ7g3IfUiXKNWm5EbGWn9a4+LM3KZWRfiVxr5U+0VKDZKYww6ZywoxPXieUitw6+s3k4HHcaUVFD2v3+NzR3PUldO+Tc/H+LVxbBua05jROt/ScjOEh6Z5yB3HnpKqZ8p2aYRfMyIpLbe/D3eZenNvpm3NyXrkaVUNJYjGnui4VcH6f4XlFc8hvARN9SDU3eBwzOOG1PlWhNZfB4ClHycDj6RPUqN44UyRaQ0JcJ7Azg12mgshgYGm/GNHw07ry0b0yx1eX6wRS0ebyaBVrtjUj6tSb5pFpRh1Ok3WU6HBRS0IGR1khZZ9pZKWlgXP3VB/ONbehgdpA8T7Bgt4VrY/28TQdeXbTKJ6MaQIywJW7xjlFolN5oH4HHmK3FpobHTdQt3fJtDfiUcglic46ZFcHcMc5R5a8N9g1afqqonldFtnzlZCprNaSLlL/6bynsGRMFHfB3kzarPr3HP5WTLgQ2CjJkJ5oQ+7HnoU8BpfvomYoh8ZTecM1wjRZCT9PwXwY/so8OZ5h1MnECCWdCwak9NYu4dwomHBaeXkxKYtJ0ma0huWFx3jxhSWc//ZZ/DoV8OH7uLO8hhe//If44Q8Oolqf8I60n+JA213bn3iB3GhK/PtwDddWP4MjRPXxKWyjjeLRY/wyTTGHOzHv3fTTZE6Xhi0PLcd5U7/qZCHCyz730le/sd0RIsjFgc7aXAAG2vNYdIVidoHIYPzCDpxvH8AlxUyqcyRUH7v7iHlu+swmEtj7tMt6/tJiJZl84dN6g8f3VUsrZJYdbQYUa1pzXiUXkNr9vOF4mVWzGKnlN6O2HTiIxjGPWySEy5DQVkqtJ7vpmbmVJl7NfeddyY/reOc2sOuQ372J3V1acjh9+yIu3d8trB0Gs85jNbsDBT3E6o335EqHGhw1hX23zVKo0huotXHuRveFHE62t+Gc68vOZQOYHUPDWA3PPbfokp6f4XmlGKNYfxg7h3bFEomIoucf9jXhdH0vBk1XNGPszWJpHfgUEEqB8Qq7CeWAAztwp92Yu0UEaOsyh0qOb0razK5J1NESadXD+2vIjg2jgc8jeiwDJnixsLAMErOn/wwBQcf5AvLME4+HWzevIxIM48oAq6iYG6j19pl64H5qtzpP0xwXUp3CcLUjOjNSPYOTV2Zguam1ZJC9co9lu20QiqldOR+dLJFH6RJWgYerSV4ccSE9WWjRPSoeMC2Nei6Is7x8To7WolSoJtb3rNDm4r195lNUTLhQi4AmsmVK5oUscGjVLkjS9669DdcsybY0f+WNoWsKQkZJCYvV0pQxIdyLN/LAkcMA6LaLA7dwsmcGR2qTFlTkFkW1Pbw8BnatOHWTrTkY9eeL12sQcnne4mjvNzFw1HCL+vADzH33j9H61VsYOdeJxt80+mcwg4NFD9yZ+eLhtR+/i+ovKi35x/HyJwC89YAtFzYzZvvbU0lCKyTGwLpdLF5NmTGCWDYeJmJJ50AK/ClffXLt2SfwZcbk8Bls217FZzQ6RvcbB3nFoTg+uLm9CiND99CgsaR6a/isw+DqceG7SszLoZv6tiyNDRMy9watcrGSrkktGUzeJncEchEYwF06o5CktbcgiQ5hNtYrd4Xih6R5HiODbL3hM719L47U5x1XI7qlhdzIcpi2rDzJN0ZZc5/ampYBsfpFNKUONRp06yVbNRp3dqL10D3tXx+lWOIzQdmhfq3Zi96JEAuwyzVygyYt7D3M1e+AbTuJcgk6ScxPAbM8M7jVQgNruFLwnKyvY1e96cMX0cR+6mR1IkHRdF+TbpkWXltrXkWI2SFx9mEF195cR6vhy22nEgLqed8FA1bCKrT25XDNVSxYaehBaPezQx5rg7R8FXTd1ePg0DupQFLVbWx8VSniNx1tLp9WbdueQffUXtT09Host3Zb3CemGbUZZJfpHEv098ZoGwYLMNKmME5nW7QShbwjxmYEfRjKoOmU6+Yo6lA8SlRjypAev5Tpk5K5Z8tkuphLpd4fDYVgrExnLsXeU4S8fIKZatpnTOsZvV/Hpdu9kk7H6WQleBSXiU9UrHnbX0qkw8/RmBmH/bkkQ6ikdjQ0yxu45Piu8U2fT4M2l9LPrZO2YsKF8t+MdZ0IqLr2zHhpaaaktKhfa3cdijH9hnWKCgTcWzGEJjd2JarcACw3EHkw6drhTvRjTPi0E0Nwllxs8uJq153Tnit4hcsQTeLzO/twun4Yd3PC33rR1TAn1Gt2/Of/7SeYQxW+UWsIFpTghZfQ+OUvArMz+M6PMrjUYWiISLsNOnwNHBk6iGuKKTYLThO+/2OM/90/4JezN3Tqh7cpuI4H7wEgFyn9Z2uSiMjTmQvhwiLM2CeVkOnR/PrP4iSfuRDVCmIpbiIpIlzQrWXHjrMmTtysIawW/V1Ci0Na/WwzaeKle9XaLVxDDv2KudmXw3TnAAbeXMerGMNg7XFMQ2ycPM/l+RK6MpFukaFb0vhv335kMeww4WVixeOaw/She5jkcRDWLibmpquGqpt/nXM8+3IYbyG3gwxOKAFACV6mdtcoY20VON3XBAzPyB7Tyyq8ergOg6arEWFAN4aRwGbkV0F3E1Lx+pdoRBnGNSHQ2OdidJkwrBqkxc734txC5I7EN47QxqOwiDLKkBBgsy016OiZ4dtn1qSrXFMPYrfRMHNDvu1elxi3cOGSlqVNsGeNhcWrVzI40knzqgo8rw7QxRn3AMN9jdeW8tm3itxa88pqun6Qwl5nDndmb+HhMUPRotOIgLJaRC5nTgL1yBc85NFhKBbUK/UrtPsZjO+jPcI9K0FCL1mubAFPCMaluJuSALOR8VWtJcEqHW0WTP5GaJXyOKC67f6r1phnLZVyYG21BuNd+3H1ii1cUB6mAzuncXK1SSjsmHfYizfoinsuVN521JLBHClRcvfQxFecT7CXRMMpoeSI7RkspAtmO87gxvf+eBrVow38GooCUYp/PkX74wbq8riQmRdqCEEtotPZ1YvW+UFBRzbOo/hdcuOWC83nSYtvbPwkFEnnLAUvIW5kFHtemgP70dm2p0ubNzbOz2ruigkXYkCT72K2iIyBhpjk5i1GBvFmBjtiXo1slQ96mNpClRCBPEHM5+WEVJJZUcyq+qYE95f9b9dxaVbllUzOzls42Wz7+0baW5s5oJx3//sSn7f4vDxToUrj3w99B6vVwds+4NRFoDojtO50u07Ki2dEHT/DtR+/iO6z/fikUemdH/Ti3+ffx3u/cIULI1EsSEwUCRjSz9yjYdYaK5VXzovYdy5MBtRz2Fpl9//SOYw6NF1fwlHcwJE+U1ut3NKWwO5VhNtZuxRi9sinenGUNs7dwOWLRgJiHEhIdjWfss4CjI1RiGQi/VgtXr+L0305bFuLc+B+xl1sqHb5Yh7SgT/zgDMLXixcObe/sTsV3c6yjkt2QYi7RgkMYlfVynz+TcgptL7IJOXxNw+RSveL2j6vQAPlk8/CgzjvcK5Zurit5dHBY5bMwILd0OhGqRxICJi8DNy5ItYp3fzEAobRZFbAOF0q9qiUMERf73R2IquUGcUylvQ+eQ0+rXnlaz4z+STsHctgbbUNA5f3xq4q5XzSZfHElM/FI14yXWHc2J5P0MALgaaxsxN7UIU9F9ZwsrkNu6TLWnSLlBAGu12lELmbuv79lnVcXFhCfavM+KanzYLJ3witEgKF+JaA7L+CN7YW1QtgWxctCklLo+hUISEQ9WH+0E2hRJGeEbQ+6IxOnNbJNh5yaK/PimApNW1Pg1SNe8YSEb2Z3jmAJvNsjJyfR6XCRND2YTTxpwCiPY/yjhBd3wCPomhXBIvYc2IK3CiBDpW15+vcNHaFv3VC88U8sP/s0mazU1srXDHhIj6RCAixsO/U1wGHow/NJUKkD5KaKeTNIAnu6GbKjYRN//w05exhAmlooWOZhMmdfKfpcBktlpEkDSgzOXU4kgPu+PxFJUGwq1jB/D8+Bv5dHXbZLwB8gLmr8ZuimDDTB2z2Ibr7WfkplnDm4udXL+PBgZwlWFATXv44fTzvXazdFwelY81KjBAbE7+mvPrP1IzpyOSA6ksRLbldgDCnihtl+jHPL3djD2HuCHo6n7sJGd9o8c0LwRT5teeCCb8hbjfSFRQK+LGiK6D5bv0NrBNhBqfra+9i0BJ4qE5ncy7URHq3vRq7YLhGFRH24kyBU4EpODqvoo9iEWMfCQOLo73CSndlGCc92nzSbs+19NkHbYl5NPxykzXfSzgnD2Qz7seOA83DzHTyc9cExkfbMHld3UbnNrq050LKjHfofn/rGtDotjrG9UCaup7xecW3t9BVo2J8t/H3apzD2LKbymrB45Cm68p64VjaxBnAYeHKp6yUZKG+AP4AKZ3DYl1IkVuklMae/Nqtj8wadH1D46vaBqAU2rwhWkUaZlrTtF8l7WtpsCdLrjzj9QqAQbKycr4ZfW25UkzShRFaIFqIrkgXik1xDS0J9dFta5L/IKu420aL+YwzvVzmasoOPLPJhGBMFxGIS0kMd17d5t042kLX0WagBA79ygyUwqMQrZYWJLMIHfbsn/ROCBTl7/m6/E0OVGrtbnKzn3h1FRMu4i0VC1t9TI/MTg09hT5cI7SMSW4T/I0Gl0BYlYr6yvoio/zYi9en1qqjtIfF1+/hxFAGdP1boYXLgk39QfRXo/i1oaoJ7y7h6ntA4+981v6+xYcf4O2//S6+MfsSWnt79E1RlE24sNDmvKRKKf33wY/xnb/7NL7uaO65oBfo/2M88n9HL31d5gHZ9LmslELzYkUlPJD7FBA7yOY92BnfhBIKNaKL+O1LxuY8+ZCnYgKNoilYAay4RP0Nmhxat68Ds73JmmGnCf5HsWmdp++e7Ktil6hCH2sqx3JBt0DNXSFmhKxCE8bVs8r/Vlr7mInrxUlEZnASSMj9a9wSmsTd7O53b3z9mzw1LLSkkiaRCxXfjGLQKJqDdKGFcFPzlZI+zscIqtyvqLv/VYT7awns7suE52doXgnmka7sNb5hoJl886pJ0Zf0az/qe1xzKeeQ72vCTBtE3sXVFfhv2KH803jFsFxFtcVDGxpfVdyGaXMJtOqYWNPK1VM1ofRf6VpIV9JeL+4WpXAy67EUm11ncKQnEq5tpZ6iC5Tb45oTY3opjaQhlEUzzUac2ZBnLiwUBnRxCfNfdGMSCVWGMMruQFfE91g6ekyrr92ZkngU42yDKEXiTudsyBWOhJnbB2Nuo3aNW+dJzUnt7mw0vShtNtI+b8HKCxd6AcpT+nKzZeJN75rbonMU+kYVg5AbE19P6DSos1uT4SueJg+lYcZDfOyl22AM0mb3pVOMEmsN91WJjzE1t3lMtpRbEVcySZK/aPzgpahDfu/jp5fxH4b/Ae/967/gbRIY/noA2R9FrXj0r+/jE79N2rXjaND4ivdaux0lt0Ou+Z7fiisAwfXOYHntZ/g5Poa3/+wlfO9bXxTuJr+4he/9UR7X/lmcbfjbM72Y/8RB9H3/uLxLOt6npGv+eMydq1TtRpbzVIWa+hXcJa2+gwl43tThiMcdq5ya3DzalaPA3NpzKIO5/C08ZOGi8lip+ei2jf1cOTL64JHQ1MuDrsOF/drj5dkxmslTbirWl63ttCVbLrhMpe0yylL0hzbRs9LaohlRdcWrY3WQGmW6YIHaoTZf3pCbPXVoLVtUr+5rFMUhpZX1nTNxkj7hxy04ryRtnuPDmZFFSgOlx5WswxVk+Mx61bWWulIzIA567xpy3a8Ia3Gj1R5yU3Tpqsctyiy15PCGaHNUW6m0ig7Mx109o/JShd6UH6sk+kjG9g39GcKDZZlQhQqteKt61L9plEZEM2hMJ8AfLB1dwrznY5e6SF/A54oFoNCBbl8xIi5+ANubVtFDuT6q+SAzXSLThHd6esWHQvkmxCY+nO87K1Yyj6IaotaRVP7M03eTrtxFzWvkIUCeAW3iG13GTYsq64Z/E7A2y03iQcw0IVw+AhUSLoxFzZM44SYULdHSYpZ3Ucsr0wbl3fekpTLvN9c3tehFIjpLTIC1YdOtHS37DReHNKBEZsIRQ6hJk9OfRmw2MX9B7ncTm8QbVs2vX2Ywjml0SFclsIbRs0nyIqWDmwA+ewz/6fvH/NVvNFbemhDhSuMkzc+F6v03e/H17+/F1xPrt/tETJs40G1qg1Rm2rA8jIR6XdavPLhmbepRQTSXTPcXoc2J3sdCMQ2XTOHZ0CKtGmEZ3ehjWcmUO9d9Ei4rj5WfcRcbKrVca93NNUCMm7ROCc1xdJ6KyvO7nJh0IIYaovNDZHH5PfwJfoS/WFbpIm2jivH9mvfaRx/ApJSqbsLPQ3+oP3SrF52puR5ZGVTfaM1at9w5H67je9J5fF1G0tNKh1ZZY+1JvrGouNBglUdt5u+nbK15JdagsEiNuAoBs4M0rlMZ8eVfUly5a1AzODJTwQP6ET2yNd6qQnsNcyzVZyoOeB8y/L1JoRGjq7I8k66rKmK/Kca3q8CeUJQ2RxWWQqto3cyRtZ3GxsU4KhLKpUlHWVisYFCekyB6Qpea8N++nHRjyuBEbZssQ34TQ6UxfiN6LebLvHe+KPpgZHSDSXSd21wB7ZM7N9365bO1P5ppXJypXd6+ikzmGtL7G1s5aR73ig/oKQUMfx9oAq/QWbHRauML3aXzKHo8qH3ujU2qP3LdCrrdhgbaB6y5oRKW+VsEa5q/5pmLMmspki3N2i3R3bhIjc/S61/56KOPPnqWGlRuW3hBevyqyy0v5AsIBAQCAgGBgEBAICBACChFhKsACugEBAICcQSeG+Ei3rUQExAICAQEAgIBgYBAQCAgEBAICGwmAr+6mZWFugICAYGAQEAgIBAQCAgEBAICAYHnF4EgXDy/Yxt6FhAICAQEAgIBgYBAQCAgEBDYVASCcLGpcIfKAgIBgYBAQCAgEBAICAQEAgLPLwJBuHh+xzb0LCAQEAgIBAQCAgGBgEBAICCwqQgE4WJT4Q6VBQQCAgGBgEBAICAQEAgIBASeXwSCcPH8jm3oWUAgIBAQCAgEBAICAYGAQEBgUxEIwsWmwh0qCwgEBAICAYGAQEAgIBAQCAg8vwgE4eL5HdvQs4BAQCAgEBAICAQEAgIBgYDApiIQhItNhTtUFhAICAQEAgIBgYBAQCAgEBB4fhEIwsXzO7ahZwGBgEBAICAQEAgIBAQCAgGBTUXg1ype20IeDaeA8akc9liFL+Fc80XUXOhH63brhfWwONqG8zvPYORYlY5/eHkATbMHMX02g206Ngrw+7GVKKJYqKUP81277VT3Z3CyPY85AI2ddv12wiJPXM4NHCnST38phNEwMDSB7n3+FHZsqekpt8gzaRfkfdoQDlaJ67jU04vBZSuy8EN9zj/eNL/yO6J3jPc9nIjNNype1Hs358NT4HAn5VjzHFs9Hs2bgvXKrjltLTxP63C61DlToA1bbh09RaysifjE168zJ7k+QXesdpgPLr2K0Viayzdx1FgDPppZeP6ZFYqwXv9c30w8QZGYbGo6VqQg+bqsNcj0zsZG1eZbI+pd0V9nvhZLL7Cv8eyLbk4aS88+WWJ9bqkbfY5h7xYo5/EuZ8xj+bzry1kTqmxOm0TbVSKR99phe89Ojbea28Yao3nRAQ+PoKqkX5XPjPOE9Roy33He8nkkUZQ5T/wYmFXGwt5xiKUC5LgSX1TKn7n2vess1djKGtO2NdbAhHnFNMGzxgCIeVMCLynr5HE+cEvzkLGmFIgwsSqQbMu9qrhwsXh9hplzW7CgQbuIyZbjmC8gWBDje/VKHY5ciAQLRvRAJ8ZXe9HUfC+ZqX/tzQAAIABJREFUOGvi4EwoZxILYifHySIQxNxNYES1z3pnjmsmuQ1msk0IL44Og4WEU23i11enl0kv3gfCacBX3gbiUi8iwj6/gYp01iq09uVwsn0Al2KM+250X6B301g85grCsgBuhxBkdJFJAZ4vvg3DzuDdbCSx45QJ8y41dlzI87GONgcre3ye/JM7JzMYmcoIZsUUmtU80HTNaNm+HOaH8mhoHvAIpEJonvSs+23H+jF/zCiHgyaT4r6Tz1TfVM54WZjGGgk3Hix7Dap+HS+5DUkMRnboDGryvWBlRYmlbjvWidOzvTh/uclSnKUrZgnnTgnhrqnZIIyeMU5XXqVTLeFcex5CsCDcfcKcmDODy7T39NuKx/u3cG25Dsi3sWLSbd1csyPYWv1ex93lOhzps3mGQnhb40tlTU1opSW967hCLRhGA/+q1niUP1Y7VLroN2kP3RiPJMrnvZ9oA/MrgqZcax/DpQOFlbeqdYuv5zHX0hfxO+qF+7td0ic3nhV3Y0Bfuvrc7FQ/Os/Y88BNJJ9V2kJK6YSsJUf7aaQUOgoouEVFTwarkjvxjGSonHBhSbi9aBgTPRQMwjom2bJQZMEu3GQBZPrNATR4LREz6DAIjcV8XHHKdhhui0C1SPT1pik2otiYxIiHIJyxdE8hIiKCHqJH7ZHMSTbnt/Y8hSZ7qkzaiDxJU0fRJmYQPSKOQ/fQ8PoSXsGw3Djswqy5UchypedYHU4PHdSFsKbrihgHEqqtzQuAYAgyON2psyQH9JxUScTcrKlWzyl+t9A6eupYpYCz4kmMOdkqLagPq5swfXhMzhUAxDhYDD28WsTB9jYMygZOGrQRy3lZlqQPiCyz3v4Y5UTvI9rijhOnKUhji2h+o0pKC6Vcg6LQGryyHbira6C1JBUyOi7aqwCpdJFCWFzjSkx+HXgtrukCrIAXJzPFsllf9IL2shOrvRF9ovGQguXiKGlZJwzFnKQJfc8CbZdtuTAhPRJ2o3voJhp6Zti6zD3kMaO5JPpAGDUYVmDFPJreCpzPUQxGaEUhrbRcy6Oh3RFCKJmFtz2+vEcaspoYO7Iu2cIPx88exKtK8aiq12tMRcR/G02aXwkeSe4vHbfJsm94X2zPoL/zBpra83jFsGBSi5LnpMMzuc3Xig3fupGJY3SjuOJSKJGBOfjWQkRzuIaFvFwTvrROg3V7nfgNP67jjdkVZHP9WghNLrLSWCXX9Ky/qZxwwT21JxYTZwBayrZckQRRigBax6X8DLK5HLbt2+3RsEUp3ZBX2kxBmNxyKvcsNrXi5QltjmvSFfmS3yliNz3Vj23czzbc1eZoU0M0kaAZsIW0pHZahDEp0SbEc3+NzSi5SrmwW3KYNhMRw85uZhOY7zJflBg2idf9GVyDwJEYg/mpSHOm5qMeJ+nOR8/XilVJ4/l6NUastULzKZlosXCkBeGttY6eLlZJg/Fk1y/XqudkwrhqJhqAHlvKadPYpB6IeJfG+vKKNHF3VTev6S4qaIx2N3RorVivhVtW9tuUaxAkYGMGSuDiX8JxagLdsvK48GC2ah3v3AZ2HYrWtShzBTAYqsiSILGNWYcKY2XWCBB9sseDsLx6qB/dmrGl98J1tmKaXGUlsxvjeXKY0ZY+jEMKawYmKuPA5b3opwdzzACsra6gcafE9f4MzmtvBdE312XXVv6Yc1gxfcRk33TWiWqF+qWyb6qH+O9CXrheT1VjsrkNV+V+KhRHVKdHkLPWZbxIGru49d9sP/FGbTifmkdSggIJQPH2EC2dxgArFUy3dEVjVQu5T8XcvlRi/Wu3W7hXu65FNsYCO1WAEA7IAp9dvQhyR543XN85FdORGyqDcOE+NYM0VnvRJyOrDkplgH4mJc0a7qAGR/WaMl8q/smMk2FHmaJTxOZB6Vjpsp6jQIWFCw8ys2PoYFOoIWV7kmFhmn3ys/Kd2KAMH3edRw5+rdSMFSGMNmHShbDrlqUpoleaQGYwPhSl9YW4fV7rikhdqF6toWFzcAYnzhobmK6sCq25DAZPOaZORQTV+RNptqTFRWddgEhDpIuKBdzJH0vA2o44YYynKy3Gv3AVA8Bl0UI1PTB8FRgao8aWjEwRbbpCkPBlTI7j8Sxq9nTzOzjSXLy+X57LEBsfEFk4KPfcWJIGpg6nKcH2DE6gDScvSx9iYpLqdyCL3eg2GCNuicPUcdwWW0fcZmw+VjTefuuoaNGTWr/Rhmtq6IywO6Y0pwztqmidnwkT79R/KtPjEuTQy+xQn8xglxnFq/Ke1V//GhzHjGRqkeCmU6Q/TJuBOclQCMuCKnN33I3NLU7TAh9tp8SEt8ucOYUQrec9xuP2qhgdh3F3Skj3GLOWOtnUnPHWlaSwWcK5nltYO+yUBVtoY/cc1OGITmaMp7sW5LNOyrSuDqfJqkuWJGNf0GmsQAZHmZFviyxEyrJsMIjdU30419yGBspL8R5GnostWh8J5FYD/A+peCS5d6JAewCwILGTXCbbvGdHie51sJVd8mNMX4wzjP4WAlKRFnuteSb1RmBMT3u6xNwgmqfP0dIYnqrBCUMZp3Lav4Ie8ZlIUH/uelxA7RzxJ3KZA2riL0D2zHfuA3u8AgYMgcZZp+6cZPzcChKUtwWwckt4Hp6fvHBxuBPzXubZhE9oW82YbQcOonHsJha7djvadzFhsjm5OJIIozsJzMJ1WBJGJp7O5F2I7eg6FwVcbYB+6StLv7QDyhzsnk/RqfY14XR9LwZfX4Jyn4DWeNpuEiTds1ae6peT2HIb04VSoPDCohTUvxFFiEvWcliVGQ9VaD07gVYVkzRGRbC3NLlUxpU8OprpvINtqfExchzHJmVT87PEbnvZoTRmT9X4+O/DVXLA2C9eSCYfIPeUG0wYX010uRIETJW4p6sPu5qFUPkqlVm7n82xFpFWia3frbeOuPlPAauntX7FhmuPN7AC072JMLGEm3opbbMigd4u4WpBC4YqnwRSpdQhf2AxWWx3qyWc42iP8KrzinwxwVgxuOK13WbleirfbdaPWIN1eOd2HU73Ud+XdNURPdBRgOuaoRjotXvsk04Xf/C6U8ySmTUhLOrJYPxCFR4mpAErC0jwaUODqtNNS7R+CMYFFjajwwqRVTdThZ+JvuZ3YLyzDh3euqhNrqsZtUEKCfeBxjHH4kHvyJJMLi+369BYVpMVrauLchsCQhTpCRlMr3AvMvYC3pPoggVDyPEUwfuw67boS5cmLgWPtDjai0GlUC1WJvNETXyJSsOscTHK/RkMjK2w0FG61cvFw56LokkUV8A6RPyEPGtR7bjGRV0SVmNyd4suW8lh/gK5dbZhMO0Y6wKJtjquYrS2sQK8uY5W13qi820kUBmsNtKCZyFvhYWLuMQmJHchdWszutPzh5fHMIgMsvWGz+T2vThSn8fVhRz2mDcnsSY3h2kzroBfobVJU72xyamIFDDYPgDEDv46jS3yKDa3FVwrNnEtc3BSoeqg1jDOHaIbjxzNP2tVosNoXIohbLF2tlnefKD7vRtHW4bREZOik9pAGlDFoCSlKS9eaK2AuVGl7S+vHL2ROdl9jBzFTdPtY815qdkBLvUMY5I2eGdO6eK0BlFtkvaZC5FOaN8bD5OmUsypbEsGk7dJK0Sm9gHcJYZrpy61QED6LbcPoLGefD0F/nteywEFDu1tzXX0dLBKAv/Jrt+kWku1XFA5cVprly4tYXakPouloiMLhc0k+lwRTGUFM9AJSoeI6XXolao0za+mVzJxSWuwE61dtsXw6ihp/+kcSxpaJudkjoQ6eTlC5zQazDMtslmRW5RwG+vHmLhpyKiHFCr6TwuIFCMEuqOjbTi3YN5oJ4TNa3STXSp6oUuvcIAOaoubD6vfNN1V3GqM+UuvpNKIU0nLupuDnhev38XpvuO4237ReB2f1/YeTpZdcg8aw2BtBtnl6EQNFfLGaBsGrYPYRtEwNNK8/9I7qfzprMHg2IzgD4YyaDo1E+c9lLKtQPl2bcYTzWc2Esb7l4ZH4r2MD1G3pbh1UTC3liKPLGXyNkx4rOfmPKZW+9a/0Zuyg9QPUloCnTjd04uGHkP4MUpVyk0dJecR05aEi320q53KxO5PGWRbCPPoshWm8fV1wOo6gCTLoiok/JaLQIWFC1tiUxofGsDWs8LUeFJd/Wn4va2tAqf7moDhGePwXRVePVyHwetL6N4XbQh808LhM96DNebm5wXEZ8IirSmE9uTI0EFcUwKGt4BikVID3pnDndlbeHjM0Ig4WZUEX1SDQG4yLXl00HmUfRmt+edFNqYObTqFG48+TJhQbeTsgVF+uUFqvzDPdgLDvWhotudOueWmySe01sRMSRclj+ZQ4CsEs6brnsO1WAfqyWJiCMS0gZAmZCGPQTJfH7qHydvUIqFBFmUWcYtSHdiXw3gLme8zOKGEHnVoz7RkqfTsy7wF1xGvv83HyoDNCD759eu7Sju15UK31LUyCI2heRWtTuoGDOWDfqUYYdftTieILJkcxYwZrdeILhtJhVVXRtgMjpmqeJjWi3JdK3kNOgqnxp0eH2/ZBF6X5pkunpMZZPXtRRmMH8th/pjy14wEsTgT1o952mfoXESxPylAET0m67WweFAmg1lfKFbIk3ov+kjXotMelWyBofrjljdS+AghgM4ddBo3ZEXldnfRwWllOaNyisxrQ2hZW63BeNd+XL1iCxdUCu95O6dxcrUJI3Q96DDQf3Yv3ujplfzFOi4N57GrJYM5Uv7k7qGJr8+fwB72PBA0fdKxzImzI8JDIDZnPG5usTT3qVx7n0vLI4lRNiz/EovYFezcfpE6+q/max0rq3aZV7MzT2S6RUlFcJRZhuJCEb+IKSkjt6hYEVaE6Msro20YuAzsGruBGuOSFCup8RBZnKM+0RXurxhpdJAsFPU70N81gaNokwJGE97hw9l9wCmfZ4zOvYFApbHaQFOeYtYKCxeFekKEgwSMXpzbOYFu4/abPUxk1nHJyR53jUq4YlPmi5ntnfL4UbkY8IPSUNFEuwhUy5uFhmfwqtpHfGUkxPHNFcxgZrC2Sotmr0FUjUxycy7udyjykMa6sT2PyYWM/f0LD1Ns1FLk3AQtTp/Pb1K8WfJGwoooCO0IC1dnJ/AqWxPahMZkI8WXk5cOzzpa2IiIJRVoEHonidDI5bBtLe5a5xP2lP+1XYzwTSYNtWm923bsOLLNfqK4FdfR08LKxlo8bfr61Y0wmEmXaeDNXyeMWR6MN/rwshmn5lvEuJpvU4RbOnH69phXW2prlD1lSebZL1B50jtRG1qD6lsFU/LMhRT6G+SVrk5V0dWj9Tn8RS1p1OmKzRzIqnB+Z5PhmkvM10XUdGaAWVJ857G4z7nKWglwPJaebx5xfB67nJv8hNJH0F9qnzlmlmbZYuiG0RBz84z3rqQY3W51A1Sx3Mb8paRyDtu5lBWL0iaXazHkpICs3wHNKphWny5pVbIrSfUkrB59mD90Uyh/eLzEYWkSZtWaiQoTexYOOcK0eemCSmyNDR1mVy/S/CbzSLHcinGOvYhH8IU6vBZNASueLjmmCjX1QNYUSuQY28IN4VTYLcqug/g5ujVKrpE1UsqBhVI7nXyS60Z8c4OENONyBk8GUxG9resMTt/uxdVRYJLOAJPCumW4zKuhPZXpqCeFla5gywQ2UbggTIRmgtG5nwKj7dXYBcM1il2iDmI64RBOnCg4dTgbtXAjES5W+oYKIjSkKS7m9+8UTembxqJbHLYVcGFRVovEsxZu2cp64Vhx3GTFns3NSqd1iaF6YcYXEWJUluK/UrDwlMeMBB1E4xvDipdUKIW1QbkJDQLF51TYKiDa1SCvk42sSWpDdAvxPBt9Eky+PGToSZomiufmMl1fexeD0molmDRaQ84mV6zAZ3gdPTNYbYH1q4c5xrSLTd21XERa0ehwpS5DBgquFZ34oD4nxTTEEcQ5mVxX7kfUdBFlB8pdgxOY5zqjMxfsJ2+dYRCNimMgL4mIKYFEW8R3LogR2oFsHzDQM4N+dcGG2U9ihuka7PboNj+uawwFGWxVhGthFnlXnpjLCtUr9ghi3OzrWFWb/L/JlgtKL5R+Qqig7zJQP8yraM0y+fsU0l1m/PANzNUe93opmHkozK4utftZgz1Ibj+cYEZfia+EM7owRlg96FB+xAgLbMU1tBg1LtRgi8Sw8P9XFmRVuUHzlYLIvHWNy/SeU1EF+H7T8Ugm42yWIlx+DkYCmXVWiNyAyvmLPE/OyVu0Hr55A3Mtx6WLkyqz8N4U0Q4S+MU5nWgPTtgv2RKjvAOEQCHcqlSd9CsVcZYLoauIpj6c4XMoxCcy78U8WoHvXJlVpA5XBqvU1T3DCTdZuHCQMLUSzivxSOcDgPPkG7evCrSgSHpO0oSVarkQ7ljkumRsQN52FI4UhIk2DIMg08ZyAXwIKbomVpRDm0Z8gRSugzeawkmKvrU2q5g5VGUnRsVn0TDfl/IVcZWPfgXhVFdBmm84XIJgp3xrs51xE5N91SFdOydujBAbp7CYjFgbhWgXaSk7yGqlGYVk60Ss7ZWM4IN3NJ9yaN2+Dsz2JlvBUtW7NdZRqq64iSqA1aavX74mFeJ2MLc/8vkdchuUt9HRZphE8xKy+6OtjdpMos4SmXHm1bMyXt85H6Wntolb9wprpO2SS3mq8BokGkO3z8jvMCTjGn0YTiiBhAKC3IS6Wfkk+0CuiocH0NQD/q5DrDzWiu+Pbh8ihrRU5QBVpYXffmB0AJeqkz5e5rQzLdRqbpTVvsKWC1fpZ9HnWPvEeJO7TMcYlZtGkWJcSXu9uFvUHrZ62BVbVrKuMzhCAo78VhcxwNF+YQq70TrQpZlKOY6kNLYrlE6bJuDhkYhekbvseNEbl9JUkDYN7ZHEnJu3UqYYG00zevkji/Py3CitI+8ZR91fhbMQKFIrYmV39PdPDEU0H4ond2V1iJvdjGntim+yxNZuWmhi6crEKlbO1o6osHAR9zVLuoqNJV/nmk4flJoRV1qkAmcFXCIWK48Z6ihWa02jKDvkvWrO8ClUWnDSJPquqzMEjAbH19KuqMwnn1nWKcqLv9xIiGiWvKDkISl9DsCpr9BjzIe1UGLLfQ2A01fSHvLtWDQGchMQxUVXHWqmkc/SCO1hoe9cVEKAK9QlepcsAKsDuIKpoa+XCguKPNQ/XPgMT7F6n+l1lND4J47V01i/vPbu8kcYrymNtslsGq4frbGvaScAZUarPnEcMWfOgUXD6kHCtr4ikmlj5HvN78xyKcyMshLmBRM7OdYL4aZA2uuNX4jhVvlEnpUSI7FwYmxMbTU9k8LF785DjCl/X2C0Wl5DLQs2x4JwJytHu2JI0zKcEmdzj+nqxDs9bTh5WF5XbfajDPoslC7lMXFm1UnhOevgbESfvek1ZuLSDFoj/JFIy0rg5HyTrrGXN1Bdd96V/KiY2vj3OURRScIujVMhpZxqyMZ4JDFWtK4dVzwuXl7pndLao1pEv2vklqyv1pdYmgnYqtVruEcqa1XyPOa2ksue8QV0cf7WuODAqIOUx4CiL0k4GxlUUH7hXX+lXSuclPAjx5QEC604FJnVl9wTlQOqjkK/tdUxPooFmWWVqThWKuXz9Fth4cKeaNYGJRnaCDxaIL4Dz8bijhLrkOXnW/97+BP8CH+hBzHSNugMngCbSI1N1pNERMXSEAERptRokU9gxJCOY2Uxs5ARX8lsbot9UEj4p9LVd/KP6rS06uqF57cQwZUHGu1vVZgbVRmCBTWBfD1b9pdseaGsJMyw1s/TFSuKGR0RI3D2aFFVBnYZo8NaynRKLwRxXLsurEnEpLdOVUfaQ5U36ZdwPXQTyf7ZSRkLtFNm8QvAYmOiJOQfG13BJzPRHDorwkJgkjeAycOLfq3O1lhHsofenyeJ1dNav2x9pUOy+8qYk/RhxWKMsaQ3XkBTRJpMRnZICiaa4TMLEMyobYWkOdeGBqLHRWiTWVJiOLZnJKa0XvjnjZUk9rXz7JBiRGgN9sL+sCkxOvw5OKeQ6JE139qtSMazQGDT2ZEp87s8behQRcgP0nXwTUQZjOuPZvpwFowXnVNroNsATazLoM+WRVu1R7oDaXdhpt8RRjqZGTDnSUuf2CN21gBJV9GaedfUF+RFf5Vlv1XiReu1oVlmMPtLh8nlOQmig4uqzH05aW3I4ERtW/S1en2AQyUUv2qfKfydqMI0lUtSwpBdvLiFim+LKpNHkmuB5rb5wdao3arCDMbNL3eraP4V88aKkg/VsY8/ihdm+ezCFFPu0t5lzGNVOI+Rck1Ukc5vbH0n8YR2PrNN6g3hotyZye2c3DP1M13j6xEsRF7C5AzQ04smVg44yhh5GYuqh75DNTIl6FyH5DsbO5v4tdmu0rEqsrZ0A7ZO4Fc++uijj7ZOc0NLnzYCtIC0tvNpNybUHxAICAQEAgIagUCfNRQhEBAICDxFBIJw8RTBD1UHBAICAYGAQEAgIBAQCAgEBJ4nBH71eepM6EtAICAQEAgIBAQCAgGBgEBAICDw9BAIwsXTwz7UHBAICAQEAgIBgYBAQCAgEBB4rhAIwsVzNZyhMwGBgEBAICAQEAgIBAQCAgGBp4dAEC6eHvah5oBAQCAgEBAICAQEAgIBgYDAc4VAEC6eq+EMnQkIBAQCAgGBgEBAICAQEAgIPD0EgnDx9LAPNQcEAgIBgYBAQCAgEBAICAQEnisEgnDxXA1n6ExAICAQEAgIBAQCAgGBgEBA4OkhEISLp4d9qDkgEBAICAQEAgIBgYBAQCAg8FwhEISL52o4Q2cCAgGBgEBAoGIIrN3Aub96Cz+vWIGbWdA6rv1f47i29oTr3DIYbRIeTxjuUHxAYCsgEISLrTBKoY0BgXIRuD+Dk815LJaTfyGPhp4ZPCwnb8gTENjqCLy/hHPDKzia/QI+uSX7UoUjX/tfsTycx+L7T6gDWwqjTcDjCcEcig0IbDUEfuWjjz766Ek2enG0DR1X6nD6Qj9atxeqaR2XenoxuFwojXqXwfhUDnvUI0Teu7kJdO/TkXh4eQBNq8cx37VbRBKj1X4PJ6y8UXod4nR5zNXnMH02g236RQUDxLhd3x+1jYqmuFMzsUoaO89g5FhVFJ/QD8L6/E6Vdgnnmm/iqKevhMsAOkWZqq9R6bFQrP5YCor4Ga59+09x6cB3MdLyKSMFtWMYk0ZMYrClz8ZDJUzor3oNUB0XUePOMcYTzlyJcol8fozMVHb5Yq5dO6xwtlPynBtbsSONp2xnDnfG8pgz4gBnPie2O6GfVFbC3LGq8TwUHlu5JmsTxoXLK9CmouNWeruzQ/E1vpG5/PDqGLr/egUPHqzj4aOPYVf1b+BFhdOH7+PBoxr87tdy6D5crWLFbzljZJcQPTFON3DEnb9RisSQveYTkyW8KDB2Tg6blhaj1c581mWZ9RVeR5A03b8feMqn8cjvMOg11eWs7Vga3TBP4APMfeebeOvL30X3vo953m+dqEcLeWT/y29j8htfiOa22XxjDyhMD8xMFN6aGBXFw+3mhp+T9kaj4LLHAHgWaJjY95CCzzP6bO3bzzo9MNtd4fAGxr7CLalocb9WsdIMgOJlrmCwvQ2DsRfxTcJlHmJZuJ57sWgrQm8inTjd04tzCzZDYqWNPSzhXHse6MwhO5bHwOW9NmMfS19mxL4mnM73omHUYdwcBlsIAnYdi69T+84YwpX9vvSn+DiUWsaj6z/AwFuP8fkvPHKy7kb31AS6KVaOXVy4k4RlpyFAOaWU9bgvh+nOATT1zEimw88UTTZHAp1vc10cHcYkjQsLx1Vo7cvhWvsYLh2IC8zbjvVj/hi1dgnnetaQ7QMGhoF+U0g9lom645nPi9dnQO2IhGeR/OHli5hsOS7bERXBoX05zE/lnMhCmBtJC65dAMvDaLhipOegUhjsRvfQTTS05/GKR5BF/Q44bLlbEBAT4j2MoVIgxHM7MaXN5W1HOzF5dA0//Oq38J3f6owxYGs/GkDrd76NX774PXzjUMRkljVGTksr8bjntRzQPo3FY6ayJalkk7n3p0knrFSh9ewEWv1FJMaWso5UIbH9wFwvms77FEByXjYPlMjwyJpXf4zz/5RB/zeiMVdt2mq/L+77Er4y+ueYXP4COupl6wk7rciitTyBEaX8s96ZvXXW1hbFyIuH2c0KhxP3RgvnMscAwKbSsCJ7hZ/PU3uFDeyWogd20zf+VKGx33hDnlwJlRMuuI0O8SnYbsFAuEkmT7Wl0HJncMLN6H2uQmsug4b8DLL7fBuQk0ktHGIkj+0GDgAn23txEn4ttZO7xEfaoPtwt/kiLr22m606xLAA+wuXc38G568Ac+hFwxglzSDbMoNJzfypeFGMZpxb+jCOYXQ46UiTvuG/91fw9gt1aMQNTK+uAyhRSFiYxuByBuNnnXzWAgTmDCHA22YpwBJjfmK11+jrCpqa72F8qomzRQyLycQKweOuI+CQcNdxmyxY0vpFJWzPoL/zBpqSGGpv41JEqvnHSaNxFALPOibZIuIy+jbhFhqkuOXExS4uRJW6di9GHZJC3MDl9fIE8eU8mprzUXkypOeu8SYrw8Iiql4IrMqey/eXMLcGNP3B7phmt7qmBsAK5pbfBQ7VSQFZWZ7KGyPV6or8bs/gREsbzl9uKo79/TXcqT+IrGIiYw1YwtUrdThyIVqHNs5y7jkKkFgxnohNXUeqfhK4h/JoeH0JrV278XD1LoAd6m3B37enL+PRl/qxq2CqrfKyGl/40os4+Y8r6KivE43WygghcMZ6kiDwm+m2LkYePMyOVTJcaG+swBjopm4WDeMKN7BXyAZvNXqgca5UoJJjX6k2VbicCgsXRuuYMbRdUnijgqOpN7JQMGL8nBfq0dRcAbA2PxZMMhgfUokBSAvB5EIG3QVUqLocc+PcnsHIBSFgNKyGY2ZzAAAgAElEQVQWbrdRYwlB0uoLppUXG7uPGUyspyRltZg33aSQQ3eXwKKwW9QE5t10hCcJKRZja1ZsM6/mGxF+jMVbj/C5Q9X4NEU8ehxPYsXM4OpCDnu0+9o6LuX9mnqoBSjHPG7xUAWLDdJ2ixJ9pRTMcK/uZ0vAOyqL+6sEHN0umW+sBuNTccGULBTTGGCm2HbRo7ZEbmCT7aIiwTynIcp2GpqX53meS+uJcvHjYhMYA3MOu/2UeAx44ilKYGW4Eso1dvVQYesf4TFCBTgCIUXFBAeXcXGf2VzuuLQ4los9XZWby4/+aQVzqMPp33nJQeUDzM9eB1CN7JckU8Ypyh0jv+VMVTrns+7GsKHU9nzf09WHXc1+S5oqm34fvnkDc7XHk908F25isv4gpg3hw8S5owjtNusywzynSl5HogS/simtconofw7zxppGbXVy/3WjVzD394/R+H8U2DB02q0R2FW/F2vDb+Htr9XhcxVp8tbGqPJ4+EAtdW/0lZEubtNoGPFEU1GbkvaLiA+JeByVa+vRA9Xy8FsKApUTLtSkU8wFbYrElPHzXZy+0IlXX5vA9JsDaGgeZrePEY8bh38zcbsUbS5i85NaZ3XmYsHUggoTPpewcI993S2rh2pvkmCjBQyhtSsq/LhN9TxrQUbViTyaxvz+itt21mDulNSQ1v8e/uRwBrvGIo2p6VJCWDCDx3XGF7VoCmknAXQ6DePxE+46zNDqsxtOOvfxp2/hvdqDeBEr+OTLAFbX+QCw95zKmsB/7voSuvepczC3cG0ZmFtWfbIZt6i6GXQUtFzU4XSUOAotKGypPrKqJPyxIKPeSSYQcg6raOeXXaB25tHQ3Cbmsxb4qA/7cdVyi6rGZPNNp4SUj7Nj6CDLjhREi+a64lo34jkazfFXa5eSHevH+GgbGprVOKzjndsADpllJM0tycypdU1ry/KDl8KHuTyp2DIsF6I1lZnLb//kLeDlDOoNphofrmP+r/4SJ9+oQveffxNf+YzZf0+4hDGK0RAWnj1nLhg/oy4tZLvWzd3Idl7EJN0KtF0qXDyCwNrqCnBlGOcSBEW2nC4DrIgxGXJInFtEWwRzELeOGS0FWMCtEufoyl5HHmWTxMCqy33gNMq65L5MWhuGEuXBXfzkvc/giDkfdDEf4M7lv8G5/7yEB//fx9DQ0YOvvPc3OP137+IRvoC+M7+PPR/XicsO/Pytv0Hf2Ft48MJn8PX/+Ee6LT+/ehZN/89v44f/9+8Wdzc0a6/egcb3foK194DPvewo5SidFmwd5ZxZhhl+ihhVBBsHD7NrFQsX2RtNPoDrLHUMjIZuFg3zr33fmlL7uWiksJRjS9KDh/84jv6JJTz4RTU6zvagienCYyyO/Sk60Ym5zt149JO/Qcf/+Raa/vwMsp81BiYhWMmxT6jiqUdXTrhQB/B4I5lg7RAB2ETa+M4aDLaPCd9X6ZNO7+zzBtKPV24Mu5yDmxqpNJuLTuwJGD7geoDrM8hiBgUFm/ocTtfmMUjWkSKaYU+tVpQlENEbi7G1ksp3juvSgR24Yx5MNwQkJ7d8VIwiWSjWcIdiZ8fQQNrEC+ncBLzlfriGa6ufwZGj9PZT2EaKvkeP8UtvYgi3hJYcTt++iEv3hSsYuRiNTAmhhgnXbJKPvtGHWPkJGnyaK6eEVaQVMzh3uRrk5OKOs3K/Ua5Ci6O9GCx4iNloAI9dExPNhllyn5LaToWzkVQEbcuGiIuE5VhyijjciXnXZcybUEYWmZ+Ec9xyIQQqPqhOVoHXZnCyZwb9Z/cWqsmyHLpMM7uh1O4vrik2tPNi8yJrURPe6elFdHBeKhDM1iiMNzSX17C88BgvvrCE898+i1+n8j98H3eW1/Dil/8QP/zBQVTrE95m5U641DFysqd5ZMtDy3FWIFx1MpCgy+eaANA5jMZ2R4ggd0py77sADLTnseiej2F3ywzTg/PtA7hkHC7nsz5UHwutggkX54pEI3jMzIszZNuIvpa/jjJ8rkMc7B4D+uT5JlMQdjDQjwZN0XHKyu0RutRZsFeUMPH+B3iAf4tqNsWaJQAPr5zHdPUJjHzvJeDdy8h2fwt32v4MY1//e3R8+z/j6j/9vmGVtfOmfro/g3Nv/jZGvv8FTP7+AC69uY4jrLj4AG/N3sKj2i+VJlhQxZ+uwi78C977VwAvA2IPUpZGUv4Z58cs5VxCq58WRpXCxsEjoZflR6fYGzc8Brp1m0fDWKHGZwpF5b61T+s+slzoRvJeseXowT/fwPmf7MfI9/83XovTb66jidbihz/F1emfoeFr/1Z28DEe/WIda+uPgc8WP6dVubGP8H3WQhUULoxDfkpzpKwXAFqPEVPVhgbJ+DC4MTTWcWmYNE4ZnLA0Z0bCApuLYBqTNS+uz60eYC4+pzdnozYnmEFrlxNVkUepKS9wU5bLuMWq1QyaZMKUFccRxtitqr6O3SOmD19EUzud8yDm1mV6lbUk+castR+/i+ovHpRN+The/gSAtx6w5cLnUECa08adnWg9dE/7QUf9WOIzBdmh/gRmtETLhZqDVAFbekg42Yt3ZoFsSwaTt82bZYQm76o8byHmJuHYluL2MiH0RAdcl7hL72gXFN8l84aW1BkfIN5PYWVwxjUCLh4q1XLBJYj1++plsiyusHviyFl6UcDaQ4wsuyfJtjktEeMd+e/T65jAod1WxPy703kG81Miz56zE+D2jAo3LcLY/KvIXJa+ykd7v4mBo4Zb1IcfYO67f4zWr97CyLlONP6mWXMFxsgsLlV4HW/MrqDxMGFTeEz0mSDjrBljdfgMtm2v4jMaHaN0U52qWNBdviRiexVGhu6hoX0AYIaT6q3B6U5gcPU4pndeRBOdYTh0Ew2nhNurXuus5IhcYTe2jqK23V0GKwVUTHm/wvqSHfK4nUqLqrZo/78/w9v4GP6nF9yalvC3b34e2f8o58n6A7z96DP4yqEq4J9fQnX9MTT9lpun9Oe1f1zBntcyePHdy7j63ks4WivX0Id38ZOfAE1/nEI16lb7AjE87+Luffbyk2+FSyo9DOrxdjMmPG8Yo3XMj41j8PLHcPJvenCErN4p/tJhk6JsLx4pGpAySfq9cQNjoNqy6TTM5RWSLRdKYUdN3Yr0YO3vb+Fzr3XKtViN1n1yLf6PFcw/qkLr/yJuxnzx8zn871++jsX/ubhgoYaNFSd5cZlMyesvKuSZDVVQuKA+RpOOmOERS0AgV4oJdNMGpNyitBuJwIc1xsxgxzfvGIJSSNHWB+ViRHUamheSrCd39vMVtewW4PE5FtrSImZ+akARjXCsjakjiLETh7vtcwNKswQcZSwjfKlocUg3WZiKV08bbOb/Z+99oKq6zrz/b8eRvNFqmiKv481rBcVKyACLCSwHSaIS0hf1t2C6SFIzhTDCZAbrtDiGCUmVTt+gTbAm1bRW3jbiWOjUNnUyMKMyLUFNg44/MC4wIkRU/NHcjAM0UaI2MAy/9ex9zrnnnHvu/wNc4GEtvfvss/88+7P3OWc/ez97b6wupoWNURCjEMvl9ryAUj/KCJ/VyIMhvesnUf2vb+PTE6c17wEyn0Ef+m/K0THthnBI85oY+hAr62D0u3iJnSNIQTK0GX0Kgc1cUGeKZr+KThVg/+VYNGuKWyyiH38QeRsO453rmXJ7ZGXUtkjrbFG+ZmXZYgtjpTOll1K6G7G9ihSIeGGmEtNZiay1dCcTYpJHH8FNWTaWU4wCifCyjZCCvlndmliM3EcjQx1xVdP10U6pvbvPXMjIcmSqD3X1HYAwXetDT2csorUepJqJj1/B1Lg42DqG2qZpYwLrEHLE3Pz82dOWBy+0oxlReG6JTrEgMWbMQvpjK4ETjdj5ZibqCn2vuZBtpkwMonirI/PMmVpqT2su5H1ZD6vL/FAuaAeZ7FzkVVVKEyeHnLUo3yQ/jLRGI2/tWZzfpJhXOdtwHPkoV9/H6gL9M314CFXYviQXDaB3BqVbjhZlDRC9D2lHM+0clOQHkYdK05qqIJ8j82ysZjJCUijKuQTj1/9y9iUT1cnU3szreQC/djVDPDa+6Mquq70FcKxB4nwgYn42dr7suheKy/F4sdiJq+vHx9C1KBs7H1BSu9SOpqFFKIwztdVgM6N1ZqCNOIDVO9JwXFUwgk1PxPOXURRS19yPOe/PQqKfigUl7x+bWUGlHVKx9ZED+TbaUAcT8Q7TnkHzt0fHwfo7M7neB5Hqs1gtn8X0hbKAA21t6IpIQpzBXDYJywzXOhhWThvq3irZcPGzTblQO/nptBtFZ7eb6YmxwLGI6a0SI6Rqh13Gdx/RVRfx0n1tUSl9eGidpaoNb7IeOX1nbwG2i51+KKSXkSvAZDMv09b/LxSQXr2P3W5pN51V2YiH1G1LaVR7q5yyltuSKgqAMtqtshHKlNlu3bDrljS7oQ/s1eJi5KEKx0MS/waOn4xAyavlhsOlrv6sFE/W3MLNOxbKxXVaW6HOSKkdZcX8wlmjnIViXDittilVVPOOR6q/9qt2QMQsjtz+9jy1k1XFqF5SiqZzDwJiFFRhrewiQ4pI87oy3XoVLUXpoJHNuAUoN3l7vtQrCKrSJjs1nuP4c4fSos5rKfYsPOh5g4IAZy5E27Y4m2O72I1MkUtlqxNTPyql8xYKppiBJKamj49+NkPWL7FS6mpvo1i8bkxLp1QoAxP0zqARdDvacs/FDrHeItHqozDia3MCN0khlXTvdeQ2CymeZx9rLiwWW1vl7vKjNh6LrFMdyMBprC7TzwhSO6IR/A4I8ypHJuQslSs2KRG0fuv83mhU0yYC9brdwcS7VFGeXVFE2UWeuhkTw+1AniNhbkjmoCZlQGFlSNfnhZwVTS8uRgKikHDAic1rC8TgA52LZJ7Rxt0z4cBt/H6ElExPiTvRfuo2HCvix2hHKVowfRvLcpI0E6iB9y/BOTcecYEq+lQE0ZYXIVp7HuWIeV5+GbD1MEBtgGas6PtjssK1JGADI+qgDf7xUx5mqi1zVTx9s/GZthsPb/kFci+Qb2OIdaCINRHvMDci9G42r69zC2TymCzvA9ot8Ff6Z3EYnZ3dwIo1rs0RRrpxPiIFeXebyujx0p6695h8GNywTbmQ5hHKSHtNmu4wI3Mp6WNxGNGPl2vT8tS5Edt9qrvyiFErXaf6HHU+M1GtjCzLj4F5UaMpn84aae+rbCGq2Q3rFxObokzUpaY40WLa3gK5beoOoHBrozBP8X74oCK1H2ZRzt5oFNHoZb17Sa9QHRg6mK4FWeZO5GBTPfqX5xsUC0px7myaIrwGJ029ax8xmZd7Bz4eJfSRVzqtlIe5nFqbchc3YB9KK4HalbIbTmS2cgbK3kzUUtvyslhanGlAJiWmXEU7jEvTPv6u255m3ixmLiiS+mIuc6Xg2SWVFXGfOFv9BThzIWcrLBISHTl5porhEEeLoC4ver4rUUvt0bCzFYXQzV5pAwNqTFL+fcx0aB1O6vSetaEtd6PlN8PAn8RadBBvo7nJaqcoVV5vv57qSI7aeYtpuKeZjAGe2qAhvLiQAy1yrYqcZSCFJ4Hqcq2HRc4WiqOqACVskj1NbXZC7Ch22G1XKVWOyOVpSK867ZoVVG+QokLntwT0HNGzQTtYLYC6BbFMLhpifYSVxaEuP+kkHkp7VGdmaLZQ7AIo156Ivrp+F6l58xCD03D2m95jI31orv4XOB/OxxPzL6HFCaQvVbXSYbT8+BjmPpMtOxwjTjTsrUd/9CIM9najy3k/yncYB0+G7gwj4m4PZhTXaVE5kKppErfR3tqNiIdzdR0a33loOPr7cBWfQyKZroo6rMJ2Wh+ZDNfW72p70838a/HNjpAZyQ7afZ+cxp7q0xi8sQCF38iEQ1HmQmPjPW1RFBMPc/GCvQ7k2zhQH2IdCCHH+x1mTUZ8CzsbkbXXYX0QrkW0SfM+cHsWP0b/fwCpDy/Sti4fOvM2BpPztWv4eP7tqXsLqGHkZZtyEUqZtM6N0pmhNRfVR8vlIWLkZxi9lzmlm84j0OdPDd3QIRY7BpEdOY3SVGKzvzsh6RO1cgslSK5ZMG5HahXY7EdmDuriYpfiJEwWjlSicKvFTinmJMQi+gYs9mekSXTm3DsKapKLtcPfVB8Pv/0nsfNf52GjsMc3hREfhmEMmc/RU5VDQwdeHlZoPKnalJ7pUoywn9ArrrIjJT6S6myPKY7+0vgyi8LiJcD2I1KBMx9Yp8YTiq9QPhRbS/WG11/9zIUa0MfMhejc+NVbUhOUv8oGBcZZHisbWGM0qOekeFBE1NmM9OIyrD6hKJoewpLSQG1Z2JBSR84QTlE21OxJ6bAwfRPKv2kbVDWK1a9Vp1cN53dbvtaBpptA+gNLXR8FSmTkNrp+8QqeOzELOaVbfO8UpWbs6Ve3iYSnIL78STl27QTnLbSsi5h8U3u1XOSsDPToF/N6S1rc87E2Spy7UYP9Z/qQo3bmRWe2Qg4QKetpfGYjAsjRPSuFRNxWO8MeE/PyftCZI54Xa8F0vOZFI3HuIfdBkvYGbH7zFHLicuG8+DaOYxG2LZHKwdC5Q/i3+VnKjnV9aHj+ZTj/4jUUPiC3dy68O9owOCF2fdrVgdRNL2H3Ol3ealnmfk4OWtDsCe2Tce4w9rUCOS+o6y1856EmJX5plNgRixLFBMnZC2wrI2VHrhEzhPXnIlRGI5fQeioW//uH+chxyDVv+06uEOueQmbjJW2taCYemr9i2g1PG8q4Arq7Avw2hlwHJMGEvMPUmU8FwfVGVFSp67JcWNTZT23wTPeNDu67OlHvAwdiIoAP+m+IjWvgbBU7XLYtUc70GnGirmkWsl5QBwp8P5u21L0LdVi6xka5MJvouBXdvG2o2gGRJhLqR1R2mHSmUiIdubDR7eOpy0Nr1MpHLatKLlClKXAcyBcH4wmzEl0np1m/vasuLYPTYBPegT1C6TmIh85UIGtvh98au0hT2Mu7ykYPW6oyc0Cjhi3CNrgAqRTY0FlTJaLRcWV2x1njvp2nhVmUGjOo30v1+FplIzqdNzCImeh6aRb2vbBSfjDvtGHf12tw/CO50PQXu0rR8tk0lL2eiwR6WSszMLIDr3zwO6UpmnpeB9V16lorhcoU3rRr0kNlB9ECGpUtkGcVeOooaQoOfciV9kYd3aO0RSxxdlcIXO3P6vRj2Q5hsYYHFouyJXPrmQuh9CykA/5IuXCf9TBsG6urPLF7EOSCev0sj6ZoaLNZFEl9xsjtXlY1WUPco4opTbY8jVm00bWVxhO1tVnGMvRsKMVxWpCt61Tq1/KoeZh/pSJDWzEbR3bN4Wy7Fm35bdz85GN0EfV/rEDem67Uhz65hc/eT6PbuUg1zcDJUMHVkSuHUF1RiI7rRg81F7N8yntldTCmM36IJZVAawVRjZ6wIhPNNW0YyJb1GdxzpFMMdO1JtPm4NN8miupAleEZUCXU/0pz2Zgd+g5+LFIfBiovOLExUQfyiw9i41In+k9XYd/ip1FbegyVFa+iKwa4Ky4Xz6lyXngL+z7KxG5lrYTTeQ3pD6gzHEreM2eKnclaznVjcF2U2yww7k5BXmkatn3vG8ibOxuOz8/CTcQj8Y+VDow/eeiKebWzDY4VxdoMXcImZfBOF8bgtPyG699fITKiBbGL05An8N5G/3VgMFoxQwyVjbe0lUKaeWhlF8+Par6r+Xp3BPttDKUOwuEdpn/GaPvx+grgshMDiDco0sZBPalIFoozvQL5rk7g+2BGPDbuyMa275TjyZ9HIGJhFnb+32LUfqcKT26IQMTceGwsL8Qy1YTSj2cz9OfPe5MMh7tjo1x4faHL0TJj4aUZgbqVotB0lS1Exc4x1IERuxopsSh9RTGQHRNajB2LbbrvAIUUHzVac6F2kshTPV3ZZB5lmOkwCieuRD52rrlQRxLpARXmCtTh07/wXUyoHNTx1pQMGnXRKxzUyfDEXLwAPrQokd7LvbOkvyvzzcYPX9ftQacPcHcSNr6ehI16P8VNC7VpByBa3K/WlVSejIHVzrEo61ZZVnmiOClgB9Fi7kSJ6FGIFP7qdrb0AipAqsU2svSCo3wdQomjjqwrTbHRgKiHAslV7IQjt7BVdy6i7GQnSS83nSpusfuMZeed2j2dc6Gs9zCYolAZ1c6NseNPedIheuJPmylTPSie0iFXX/TilpLG9Q6cvw6Fkas9iXpYWyBCEpO83gqQAk5/om4MC9uFt/hPm2EkOdYWiLAZCldh0nb0oGAk2qormrVLab+SqbHM1hH89Q2xLfuVjVFev+vIr7T9CRSFh1bFym2xLYKbTQzd260pkqEt6u7p3zGKt9YGDMoqtRvdc6DOKCjtleQJ9DnSbwdN7VUdeCExtB3lTM8D5SNMFxV/asvGTUUotl7JVgpF5dQNNJFvwqOZGNrViqtPZWsdcsyOR+EeXTlRjGq3HRqAgcuX4EzOVeI50dm6CImPzwR0azjmPPx1ND3cjeq9H8vtjxVR5M9tOM+04YOlT6P6p3LxdtePN6JwxtParmX+5OFK0onWt2Yi7+/1mxK47lq63L4n6vvLFTokRu/p1luIXbAcSH9G7rwTMhsvaUvpvfAQ39YH/ZwlVFgsDe7b6CLpweWtDrzl6SE5o3dw7zD1Gy7SIvmOymMHxLWyiYTboaliA4Yo7YDVyfg+iHggFzt/mmtA+Nw+dadMg7dfz78xhsWVt7q3CB6WXqP8FzSB/roXR1PWPD2asuYno+1Bp8IRmQATYAJMILwIfDzaVP710d3vDgUsVv+/vjhaUvefMl5P3eiGr/xstPN2y+g/v3XLmFZP3ejuX31s9KOr//j1aMmaotGv/mOPuHez5SejT+T/ZLT9E1dQv/MYHR399N2fjD5R2TL6qSu6Ta7gGd186xWN0adv7xv96g8uGOULgY2vtL3xaP/B05pcNkHiZKYZgUCezamM5jNUuLDUelgoJsAEmAATYAITReBWB/Z88ywyXs5Hgt+7wAC41Y3aXW9jzsPzMPDJLHz6Vjfm/Gkskv4s05XOSB/qdr6FxZvXu/zUco704fhrVai7GYU5N67h0/vXo6wwCZGq2QWF8ycPCnenA/ueP4uHvpNvy8nhqojab7CM7nSjdmcjcP9sOD9JRFGBrnyhsvGW9ljz0MCwY9oS8PfZnOKAWLmY4hXMxWMCTIAJMIEgCThPY8+RmSh8JsV9XUSQSYpot5y4eseBGItTwENJ1hiXlJR/AR4vxFitwRH52c1ozNiMEw9jJfAVE5iWBFi5mJbVzoVmAkyACTABJsAEmAATYAL2E/gD+5PkFJkAE2ACTIAJMAEmwASYABOYjgRYuZiOtc5lZgJMgAkwASbABJgAE2ACY0CAlYsxgMpJMgEmwASYABNgAkyACTCB6UiAlYvpWOtcZibABJgAE2ACTIAJMAEmMAYEWLkYA6icJBNgAkyACTABJsAEmAATmI4EWLmYjrXOZWYCTIAJMAEmwASYABNgAmNAgJWLMYDKSTIBJsAEmAATYAJMgAkwgelIYFopFwP1FUhdW4G661O0qkeG4TzXiD1/9y28cW2CyhgOMkxQ0TnbMSZwvRGb19bgvCGbPtRtKcCecwZPvmACTIAJMAEmwAQmiMAfTlC+Y5rt+b0FKDziOYvtGwqw3ep2XD4aXs1EpOFeB/asPYzoA+XImU8dmVIcX7ULu7OjDKHkhby/vdPiFjJRfTQfCfpb52qQWrNAlyfldRYZ+nBuYfQJ6N03cPyVCux/92N03VyBH/4v/b0g3NSR21CDZgDpxZ7Ka07XZhnMyY/ntVJ++FN2qqOt0NWvez2SYpt1Ik1X11QYCleJWn/LZW6fbvmqCenbrOpn/KVnZP9C63r1ds+YCl15a/MytL79CA5V3e7JmHz0cUy3DJfn95Zi+5IytCQbvAO4uIHj33oWdctfwe5197jHC4Gxysb8vpAMonXtxT1b4SPybgTWlaFlU7zwEu82uK4tY6rxLG+6PK0YC9l6c5X8fNWt+k7z1t683VNloTDBvvfUNPiXCTABJsAEwoXAlFQuEjYdRMsmexCf31uJWvq4z6f0opBTlo/jG6pQt5yUDes88nYcRIm+syM6qh/KwPThNygU+jTiUbLjrJhd2SaUGf09X+57sPq5XYj+WSmefPcLWDzDV3iL+4ZOSSy2HTiI3WoZDff0cdUOBvnZIIM+6Ql0n/9lDZrjYpFe5b2uhYjJ+WjZUeOh3qjjVIlas2KglU3Pjzxlh64n39SGRLvRIgnH+VONQvEzKKwABuoPo3ZdrtJmjXFCubJUDOjZePUgcoSipCrhPnLRdZatQlI+FVY3TH4UTg4iVCLVbTDBzNUUWbkcOvUzVLQOIzFlyDJAaIz70NMZi9VlxoGIyOxibDtRiv31WW6DFAbG1GaOHtQGOzyXl55V0/vIY3uTxfSPcRRyRN1aonF5Xo9CRjFQuKEAPeZ3H5R32oYKwCyjlkIo7z0tEXYwASbABJhAmBCYksqFxlY3+q75WTjclAEljPiYX6bZDDlqKLznZ6K8+DSyNtRgsX6GwSLdoLzUjuovO5CzKR4DvT0AFviZVB/aW/qwLDVe65D4GVEGo7yP5isj6ofdo7p1WOSIozFgiDIYE5uQK9mJk51T0CyYUhduwli0L/2sWO3aRleUzhpkra0BYNERdIXyz2XItxSpVTKaHInuQ62YGTB3uD3nS+XNcptNcKVLqcu0y9GSTcpLBbK00W1F5OtOXEU0MlRl1FtJjphlcw+cXuzyo9H6phUHUeIw+hXSs3m03NTWldH2JQ8aZwldUV2uW93omhGLdJxGQ2+fGDzQbtrAWFPynDVI3aBrC2omnXrGijKULRnDpEzKOqLZjnJDuYT/iTQ8ZOautTc1M/dfM2PXbK9SPz6UQC3F+VFIILkX0sBJIzJ6T6PQrT0B+meD4hreuyG9956+k+MAACAASURBVDRJ2MEEmAATYAJhQGBqKxcCsLcRTGWU2KIiXB9zs5kUEJldjgZUiM6im6kTgNqtBRamLpkossjH0os+tPqZjyUOUwfKMhZwsxutnTOR/he6XpiHoGPmHQ4yhFK4czXIqgK2HVBM2DbtwrYtpdhcb21CBCtzN4/5SxMRj7cDumFs18KUCYA206aY0cgkXfkKsxptlJ86t5SO0qFV8hdpeTCZ8iii80M0xy1AuccAuhs+Oq307OlnLhIez8f+DTU4f0Aq2VfqK7CdTINeBfasrdGZEepmiQzl1+WtOYdxvm0Iy1Y4MI/8hoa1Oy5HcIxl/D68c6Ibefk0MHEWcFPMXblI87izeg+jm9okmdQddaB2bQGalNkBWZcko/s7ynt+UkE0MFZme0WavsyujNK5rrT3VqZQQrUbQlHSm39qd4wOLb7i7e97z5gKXzEBJsAEmMAEE7BVuRj4TTXKD3ag/44Dha9uQZYYTRvG+apnUYxiNBfHY6j9EAr/TyuyXt6FvKXjUfpGFOpHkC2yzDP4KSOfoFFRi4+2EpYUDDFSt7bAbU2CYUSOwotRUMUsypCX7sIwUqrzF05PI72m0ej3L6IBSXjud4dQ/jcduHqrD/0Rqah4uRCp95rTdL82djwBaGtTMlG9wz28pU+IMlimOV6eVAdbG8WIqsvkjUxDytCzthR7FppMlTS5lE6tdm3loLrKtbjhoX1aKahxNKvk5e9EFQo7qbOpm2kzBVdNBoNSIExp6S+F+dCqXf4pwQHOXGB+JorWFaDpjCz/Ynr2lMxLDjixeW2BWBtEXvTsGRRzvZB696VW3FyShgh0Y85cAL19GAB8y+8HY5HNuQZs74zFNtLznQB8ziRkIkMoh8b1YmK2S6eYlBwtw561BUilTMjf0zvKZ340G6UHQu4ONJHiuU76ywEWH+tj1pWhYeFh95ksc9Keru1473lKm/2ZABNgAkxgQgjYp1x8dBr72x/E7tcfQe36CjSc6UMWLXoeuYSmhhtIfeY+pYDDGLrTB2ffMLB05tgWen4mdh/NDCgPbYGoz5FPADTSdjRLLPJOPSEXg5ONsrSbrwLKFDtoIYcPMTzI6nEkUVFYFuvMIbraqcs1jOaPXsTuH6yXcvxNKba/+QjqCmN9CACoHU9hkrG1x2jHfY5Menz/hSqD7xzGKISypkRTDAXf01gt7MTjUXIgH5s3FGCP3qZcq9cONHmdwVBnDuJR4tbxN46OB7Lmwo3EqmK0vGq073cLY+Fh3YnUmez4mGkgma9cBpqP6OKo+eg6xuQllPJs9ab/v9Q2E6hOFBMwEVOpM3JbLU72mPqIE8d7F2E19eZxDyJJARgaxqceI+hu+MW4D3U1ZAale+ZMHHQpGp36GQRhkqkb4NA64uY2Y0xCvpd8KKKmKHQpzLjIIZQ/OXBBZnDqn2gnZnM4infdibyqSqSa5VUjevu14b3nLXm+xwSYABNgAuNPwDblwvlWG5Y9XoyIa/VouulATrLSyfltN1qGopDzx3InlojEfPzdY6dw/vOkWPShpaoa2+tnYvOhLVhNI4i2/CmzD5a7NnnKQPlg08ddLKotgPWuT/r4Mo77okdayAlE64MG5ZYjiXk7LEaiyQwF0JlaOdF+6jYcj23Bzi+rZlHDGPo9MOfuWQHkrnaMyEba2yJMqyT9kcHuOg+mrhXZlQ6fU+wuRnV50GDPbiih6AQ55KixZWfbwwyElkgstmluxSHWKZg9/b12z0+ORCumfuYF4YZk9coAlVsx83PrOMq0ji/0pbB4WPirWzdgrcAYhLK+0LEWi+yRiSK1ky1G7l0LnikBTx1gfeLOk9fgWJmmeM3G3M8CaO0XMxfqkyNvBsd4oL4K25dkIq+T1ku5/t7ZW4Dtmkmay1916RXb/SIcrdM5jW3F0dhe1ShnKnZkImtrI5rO5SNBbzppMeuhpuvzVzwHSXjnRDS2FQPbe3PlbAStNVpxVtsJTWMjlDrX7miR8zNRcjQJ0VtKUXsu07iZhc/MrQIE8t6zis9+TIAJMAEmMJEEbFMuHI8XIwdAV/UxdC3KRvpCWayBtjZ0RSQhbpG+mElYJq6jkLrmfsx5fxYSbVMsXPloH2uXl7VLdFb0Zku6zpJyr8i8eFv5wBoS1I2kCn/NrIiuFBMmQwTvF3IkMRPVyTTybdqqkaLGLYD2we/vQLNzJjI2JSFCTfY6+c1CRrIWSr3j+ZfMOUCLXIHVO9JwXFUwPMdw3fFLBrvrXFdXLkn8dmkzQ24zClZJ0MzDQeTReSlbnLptZaV/iRbFQ31p9+1wKMqwkpQwcxJuacZFpjOb1W10dYutRXmVDq5htH95GtKrDqPu8XjXLmiiLeSjwXLbZd9lEJsRLHlQmhqpC5XdovmjDEnTQtnhJjMjqVh7NjVSzAitZguun0T1v76NT0+c1iQZuEzOPvTfBGB4DwXH2NkbjepND6LpiFG5oFwE84UN2Nybhd3L27C5Eih/NQnvbCmFDN2HusoaxKzLRPPlBWjI/xBZYpvjg0jQvV/c1nUJJUzukueuYMmZM7mdtiy2OQxdb1+SiwZFCjHDpKzhoa1waUcyMhsTf8kPIg+VJgVHPocyAOXnvsWy3NBAScOqbpRbAb33lDj8wwSYABNgAuFDwDblQhapG82/uo1lOUlKp3cYnZ3dwIo1WKaWeaQb5yNSkHe39CDlY/CPn/Jt66zGD/jX28i2sfNgmXQgC1WFmZS625JOGRAKiqszY5mPm2eH2PUnvbgYCYhCgmJbHqOY5Zh3kRq62I1mxCNniSuhgTOn0Tx3JTb6vbZFzlrk5ZcBWw8Djkzs3vEhUisb8ZAfVhb+yjD2de5i4MslTMF8BTLdN5j26Dp8pmAw7Bal3DR06IWf++i48A5mzYUmACk7ZJuvrBPR6Zaq6ZtLGVEiqbugUV3TWS/UZoVpXL7Nz6afyoRWFnIoHe7ifKDqQ8Uc0bpBmjvNhmRwA8dPRqDk1XLM0d24Sts319zCzTtm5UIXyM3pjbF8BzS5xfHtIWc9ytCy4ixqSekR7xQ5I5Na1W1h/iU78lhhmt20WtdiGOxwra0gqaRCFA/U63eJoxkEGhQxpY145BXHIqumEXnJqtmWIod4P5mUbXpGPG6/bWYS2HvPHJuvmQATYAJMYOIJ2KtcXO9B+00gNU7tzXyM/v8AUh9epI2mD515G4PJ+cq1VD7u++Q09lSfxuCNBSj8RiYcwZzR4IOl2yyG22yFdQKeFqqKzn1cmmvmQB/93FnUxi2AcaF4NMT6CFrc6fOPOmDK2QjqqDGZ5RyAONju/NF8ma9uN5WuC61A3HrdDJATTce64Xj0KSyb0Ye67W8jcVsuYkacaNhbj/7oRRjs7UaX836U75AdBNGxoYXsyXDtdqXu4OLHmgv/ZMiGs7Mb41HnPjHbFcBtFJY6WjrlUsnH3KEXyp9bXA+db9FBC0Rg2cETMfw8kV49fyFry2mkd3aDFFnXwnarvGWH8qo6Q2IVxOwnFjrTbJzxhttIPN1WTKK0Dvdyp2HNhZiFCWBno8GmevQvzzcoFpTN3NlksnkNTuKkW8NklNDqyj/G6gzOYgDbq0rlYmw0alsIqyP69L7QOvnnXLtHCYWpSm5DS1sju3Yu0/E38VTZSakpnPEMEqmEucqUsEkqa9rshLoGIy4NDRZMIsVM12m8cz1TthF659G6I7Mcriz8cAX+3vMjUQ7CBJgAE2AC40zAXuVingMxEcAH/TfEQkk4W3G8E2hbouwhP+JEXdMsZL2gLOQeuYTWU7H43z/MR46DttEswL6TK1CRoV8jID+g0C+kDQKSZeeF7Le9pEUf4MIjNLvhy+Zcn4gc/U/3tHOO2lnXRzG4ZedyO3XyzaeFawuIgfO93UjXbOGd6GwdxrJHdedbkInStVnIKYnF0LkanE/MQg760PD8y3D+xWsofECOhhbeHa2NTDt7gW1lpGh0GCTy78JPGUYuod5rndtT3/7JPLGhnL3dwJJcjf+YSqM3ofOYURQeWhULVNEsWCaKrDqK1xtRoZ2jQc+Gl3UqZAaktVHK1LWex3yAnJvyr8lIW7pSu6TRc6NmLmZhSOkymKhpEY2O/pPY+a/zsPFVo7e4EoMZwxiyPkfPIoIHL0vGui1pT/k2i1I7+focDDNlm3Zh9RbXwnnitlurJ+XdIdaaWewwZ565AIXxNHsrZxDydpjPEVEkEzt41WD/mT7kZEeBBmFU8ym97P67g3nv+Z86h2QCTIAJMIHxI2CvcjEjHht3ZGPbd8rx5M8jELEwCzv/bzFqv1OFJzdEIGJuPDaWF2KZOjNBi70XpyFPTHTcRv91YDDatN+8sBf30NEJgJPnzot1ImJUVJgEKOcdGILJDoN7x1D3gVRnHGgEkMyT4tJ8nwEgZlPoZGgLxcKQv1zwGLNDUXo+uoT2/nuQlaLOGAGYl4SchxtQWfEC2h/ORfkzUcCFQ9j3USZ2PyATczqvIf0B12KYhE3GA7oMWdKF5faWcgtN+CvDb097r3Ob6ttN9onyUOtU5E8mJkqdXW/EfkuTE38FdTenct9aVKYl2h/UBcwe0lfNu2i2gNaf0PXaAsP5DK4R9IPY7SEZl7d8RmLyVcVceTaWqOdTlELusJbkimLpIlt+5fQMqxkYX8r6pXp8rbIRnc4bGMRMdL00C/teWCkVujtt2Pf1Ghz/iAY/gF/sKkXLZ9NQ9nqusrDfBsZnaEtaZUT/lGUBA/DUKQ+6he6uBDytP3KfuXDFsXaJdQ/0HtIUF/dwCSsy0VzThoHlCK0tq89IoO89d5HYhwkwASbABMKAgL3KBYCIB3Kx86fG/fyf22fdsRl4T7feYqQH7e0OpD8jd5XS2NCah3UP+tGZ0WKYHPqFhvpbcoS8VvVaVybzUDpZZBvfopuxkMqGGph+M1GtP7lbLH4sxXbqPNHJ2rToV3dKrTYCqHbilKQon0hyK/7GkUg1P5Os5E2dC/XDf+9KVPzzSjWw8huF1S/swmqd78DlS3Am5yJG+NFMwyIkPj4TGAGgKny68G5Ot48/yaWYb/grg686D7m+3aQeWw9fnVsPW22KDv+6XOy2MDnRBFY7XYqH1lbEtXHEmdrnfjWiqY3JzQRU0zf1NG5F0VHDCqVCt46BynU0X+6+RCeLi86s8bA9NTvxq6aj99S1UfMWz+rCeNUkCFZrTCgttzanz0BxmzgZdldbmo0fvq7bT1Uf/e4kbHw9CRv1fgZ3cIxdSXRju7JOghZEn1dvJOcrsw2ZKFpS4Dq5XTc2oAalX9e7h+rsIFos24xO8dBH1rvdZi6UmxaMXbMlxnePga3S9uldJwZPSC5TXeiz1+pa9aR8xYJ1ebaMawZGDWDMW/jq2pQain+ZABNgAkwgvAh8ZnR0dHSiRBpsehXln+Rjd3YUhn5ThcL2R1C9KV5bn0FyiU5ToKcFT1SBwjzfgSMVqBgpFrxxrR6FZbdRdiAWnafjkWMwRRu7gviqc67vsWPPKTMBJsAEmAATYAJMYKwJTKhygTvdqN3ZCNw/G85PElFUkIRIf0bQx5rKVE3/Vjdqd72NOQ/Pw8Ans/DpW92Y86exSPqzTCQou3eNedG5zsccMWfABJgAE2ACTIAJMIGJIjCxysVElZrzZQJMgAkwASbABJgAE2ACTMB2An9ge4qcIBNgAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmwASYABNgAkzAfgKsXNjPlFNkAkyACTABJsAEmAATYALTkgArF9Oy2rnQTIAJMAEmMJkIDLYfQ/lfF6C86fZkEptlZQJMYBoSYOViGlY6F5kJMAEmwAQmF4E5iSuRMT8KiUtmTS7BWVomwASmHQFWLqZdlXOBw4LAyG207P0W9pzjUciwqA8WggmEO4GRS2h/PwWJi8JdUEW+Wx3Y961D6Lo1SeRlMZkAE7CNwIxvf/vb37YtNU6ICTABPwjcxvl9L+PtFc+jJNnzKKTz14dQffIdHGn9GIP//iv88o1WjKSmIOZuP7LwEWQs0/aR9fjdvtWBuupDeO3N3+NPH43GrJEO7Cl6G/P/LB73hiLFWKUbikzhHPdWB97YW4NX/ukWHvrSYsy63ojNL/Ui9dHP4J+erkRXSiYeuCecCxAmsr1/Ai+914cZV99H61v1qL8Vj4zY2WEinIUYEVFIXfYf2Pnqe4j902W4N8IiDHsxASYwJQnwzMWUrFYuVDgTcNa/gsoZ67HRi2KB3ka0ONajpDAXKRdPA48/gsgrffh0yIaSjWXaNohnVxJdb11DYn4aoi9/iH5K9LfdaFnowLwQMxirdEMUK2yjE6+Uv3oEcb39oh6G3u/G1SX3IRJRWEbPwH+HrehhJdjA5Uu46/5HUbQpHxsLUjBwuS+s5LMUxpGJ7Y/fQPm3GzFgGYA9mQATmIoE/nAqForLxATClcBQew02H0tC5Q/i4XUgz7ESaxwARpzocS5F1vx45ByOl8UacqJ5bxWeu5CC2tezEWMorBPN1W+h3VIJmYnEdeuR7i1tQ1qT+yImaw3QWoXWL2XiOQAD77UB9xdhToj8Uj2lO7lxjZn0Wj08Kuuh61IbMhKLRX6LlyRh6H8C8FonYybaJEp4GJ0XnMjKlu+Nwc6LuPn5JCl/mLOLSM5FyYnnUVGfhN3ZUZOIOYvKBJhAsARYuQiWHMdjAoESuNOB/btakPXN1xAzw0fkGTOl8tF5EU1/EouNFHwEAMWLcCD94Wjg7liTYkGBHEgvzEe61+S9pE3xbnag9kdncdd9QP/lHgytK0dJstcEw/JmRARwvr0V6ctlR/bK+91IfdgBAhsaPw/pTiF2dlaoVg8pVA83cPWiA8uyZQ7Oz0YhUZj5eWvTdkozWdO6hq53U5HwLMk/jPbWS8jIdmBoCIjw+j4Ih/LOQupfPY3jX61CXUo5cmjQhP+YABOY0gTYLGpKVy8XLpwIXP3nGtT+8dPIi/Mt1eCJ7yOjqgPOix24b+kioWh0HWmEU4na1d6CnAeW+k7IIoTXtEeceKPsXzCvKB9PPJUFx++GET3fIpFJ4XUDH1xehGgxA3QNXRdisSxaCh4KP+ogW6Y7pdjZWcHD+P0nDlkP+ABdF6JxH9mm3WnFFcRjjpJVaHVip7xhmJbzEloXfgGLaXBh5BJaz6xA6tJuNL0jTaPCnt3sFOTl3cbO77F5VBi2LhaJCdhOgJUL25FygkzAgsBHp1H981soyk7xbg6lRp0xG1n/4xqaIh5ByqW30fDLw+hPyYQc9OtD53uz0d9ejzd+Vo2dRwK0vfaS9tCZeuyOegTpYsVzH5zXlmLxpB1pvAfpX74PrW82oq7qJ3gDSVgmFlyEyA/W6U52ds6mKnwttwB7zqmN0K7fmUh6NB7NtcfQ8AsnlhX24Rc1J1H3L0DqSnUld6h1YpesoaczFhyHeq7h98vjEUnizZiNyDig7WAH7ksjM6PJwc6xLhc5lw6j9txw6JA5BSbABMKbwCj/MQEmMOYEOvd/fTTlb3892m9HTrdbRiu/sn/0//2EErswujvnJ6PtdqQ7Ojraub94dOM//adMradu9Kvlp0Zv/pdNiY93Mv/1n6Odlz8WuX769r7RFT+4ICUIlZ+HdKcCu/YfPD26+93xrqjR0dFQ62QCRPaW5bhynETsOn9UPJryzROjN73B43tMgAlMegI8cxHeuh9LNxUI3GlFXf0NrF6TKkceQy3TtW40L38QqbQL5c0b6LdcvB1cJnPujUKEsh7E+S4tgF6E/iON6AouuQmNNdBQhbx/6MDgSB+OvdmH576sLIgPkZ+ndKcSu3GvuBDrZNzlDacMJ4BdsKeFL/vSGiw714CG3nACyLIwASZgNwFWLuwmyukxAROBoXOtqBtKwprlqgmIKUCAlwPvX0LMF5XFA5e70RS3QDGXCjAhi+COL61HYufbaKg/jJbhaMz94G2035uEZRZh/fe6jePbS1F7SYnRewyFW0+O+daUkcmZKJzXjdqXDmGw6FltIWmo/Dylaz+7ieGmr9fB9nrs3FmDfVXV2PnaSThpUwEAZPpTvrMGe/7PqyjfW499W7/hql99An66Q60T92wmnp1eprHkaD87ktw7v6BPC1+UghyHE7UN3Xo87GYCTGCKEeDdoqZYhXJxwo3AMFreOY2huHwkzrVJthlAzHypqHS1XsKT+bn2zIiQeLPjUficMsIPIMcOke90oOVUPFa/IBMbaG/FwJKnNJnpQL83ej9G/0gsUoa6cb4HSP9mMVaHdNIdbZyVho3fSHMvgQW/iPZjKN97CPjKPlRkeD7YUCTmKV272XnjRgf51byFf+tNRMWOlYikAwL/8iKyD+Ra7CDmjsAvn2v1KPn5PdizI1suuj5Xg4xXWtHwzC3s/kcHNtI2yHQgXkk/Mn7yiu8d0LxlalEnYn2Btzje7vlg98aPGnDMmYjvfjcTkVSG12aifEc0jj1dhbt2vIQnFnpLPMB7NnCkmYKdntqn3eyoeN740X3ltPCsgE8LdyBxxSw4f9WKrmdiQxy0CLAeODgTYALjRoCVi3FDzRlNSwK0s8spYNlXlMWYfkJIXVvgI2QBatUQb250uVW/MfptOXpQSfk2zv/yMN4Rp9NZZBYRi5zCNDmjQmYbKfdjozC3ov36u5GRESsjqQf6PdaHui1VQFkuIr922JbDAr0z9MBv10Y07LIoT4hednNTD/LrKuoWB9NFKgcEFoYopz5611vHcN7xdW03JzgWIPFEK1oemY3jcxegjALPi0LMzXY4fz8TyyyUZ+91oM+N3NZ1Mhbs6FC/qwq7OeJQv0ztUL8emw/1C5WjgaHH9umLHfG16ZmlpC5dRNO8PkTsrUHTzR44k4tRkeXfGRbLElOBX7ai/dp6LAtYOTG3Gb5mAkwgHAmwchGOtcIyTR0Cl9rRNARkLA1syyVXhypcUcxCwuP5SPBDPNpOd879jyidVNqvPxbLCiH36B/DA/0CYjjShj1fvYisQ+vHeDTVHm7awXTmAwL9qI/QgtzG0MIk5FzrFiZSkb+9hraUNBRaKBaUT0B14FMwm9l5O9TPpyyhBvCfo2BoS/u0hx+dWyJPC89F0aZ4RDiP4Wtv0o51/ikXiP4C0nESzW19eGKRn3FCxc3xmQATGFcCvOZiXHFzZtONAH2EnYhFtJ1mFmaItzrwxvdeReHfKXvIk5mHWNNwDbVPv4A3JnTx5G10nbuGuAWfk1JfakPTZ5OwbMZJHDszDNBhgTSjQSOhf6IcCqjY9ZuLOabXykhs094a7HupAuUNAW7va7tw3rlRB6+LDghMljNA4oDAABVYXyIvW7ESMZedrrUxzg/RnpKGlM/PhGP5TLS99n1s/6dZ+NvSNNfshjnRCWmbgbBTDvVTljC5DvUzFyT4a1s4jmv79M6PDvETp4U/qj8tXHm+/cE0L1qYiDZ3XoONe1H4kzOHYQJMYJwI8MzFOIHmbKYnAWcPLVzMxOIxPIiOTGTG08wjoJoc6UF7+0y0D9Wj4b/vQf/QPUif3Y3jb85CesFM0IF+OZ2PonY+HRb4qHZY4Jxs9UyPgHILOnBII7FB5+olog9u2kF+Xyb7d+WAwHwv6flxy9lUg1+0A+091XDMWI8nEtdj358fwv6dNZgzdxiDQ1/A/rI0zIlwYs7V72PnNUq0FU2tZ5H3t8UoTHHfsGBC2qZPdu6H+mXoDvXzZzbOG86x4Diu7dMnv24vp4V7I6Pei4KDBlved+IDwL41Qmry/MsEmMCEE2DlYsKrgAWYugT6cOUyABt3c7JipZnI+DLzuNmB2h+dxV33Af2XezC0rhwlyVYp2uhHawGWrse+l8mmXfnLylRdGNQf6HeBDgsE5qzIHWPTJC17xaGMxGbrR2KTXIHCkBuUg/x2vtkIjJwWBwTuFgcEusQO1OXIyEdFhlFDiUxZj+dSjCkNNh3C1Sf2oUVd+P5RK/aU1OP8gXwkKNsYqzEmpG36aHOAPNTvjdpjuCt6pnao35W7ZiM1111BUsvi76/9HMe5ffrip5wWnkN1rZwWnvFsN5pO3oOsDH/MnO7BfTRTdMEJ5x0g5m5/yXI4JsAEJgsBVi4mS02xnJOQQB96TRJ4ZgAAIABJREFUOgGs+pxnsxEbSkUmMufJRCalGDSiffWiA8uyZcKamceIE2+U/QvmfacMWffS4unvA2M4m6IWa+C9Ngze79oZSvVXf+c8XIjnHlau1qm+4/1L60BSkfAs5TuM9tZLyMh2yDUhM8KTG0b64PyjXFSsuAdDv+nGTigmZeOAbvB3HxvbztwoRM5uxe/JxsXUUZyItumrzRGiiOT12Kkp1pnIGgdu5iz85zi+7dMXP3laeLYcLNCdFp70lPLSMRfU4tqxkMz5+tB/073NWARnLybABCYZAVYuJlmFsbiTiMCd2/iUxJ09S5j7jJ3kvs08hs7UY3fUI2gQ27v2wXltKR4KbI15UOI7e53IWqHsDBVUCuMQyctIbMb/CE9u4iC/M5lo+vtYNNEBgaWu7YPHmpjjy89i9cGfYOeF2ZiDmRj65DaitzyNVJNiIeUY/7Y5Kdoc7ZTsL8dxbp+++EWsKEa11sgWIW+HcbZLu+XT0Y0eJ4yKqs84HIAJMIHJQICVi8lQSyzj5CRw82PQt1M98XrsCuHbzONqZxuSknPlDAptDftALPJo4bTJjMVuGROK9/m1o5Td+QaSnreR2Ks/C09u4iC/y3RAYCvmFD2LvHFQFDWmM+5BamExUjUPb47xb5uToc0JYn5yHO/2OR78IheSXRQfpOftyeF7TGAyE2DlYjLXHss+KQikOvyxQw6tKL7MPObcG6UpOc5324D7i9B/pBHO7MxxXt8QWjnHIra3kVhnuHLzdJDfWAAKMU1um6EBnJTt088iX+3tA5LH/v3opzgcjAkwAZsIsHJhE0hOhgmEMwHHl9Yjce/baADw6XA05n7wNtqXP2rPCdzhXPAQZWNuIQL0Izoz9gOShyDMzgMY9mYCTGBCCXxmdHR0dEIl4MyZwFQlQOdNbKgBindhd7bv0TnDSbxTlUmA5QrmEDbmKCEHyo65uTfOQBlSCtOdo1/MztUgdWsj0v18N7rXDPswASYQzgR45iKca4dlm1YE/PooTysiwRWWOTK34AjYE4vbnz0cORUmwAQmLwE+oXvy1h1LzgSmJYGhO8PTstyhFpq5hUoQYIahMww0BWYeKDEOzwQmngArFxNfByzBFCfQ4uyb4iUcv+INNr2K1bkbsfkIMw2EOnMLhJZ1WGZozSUU35iF3s1FmXkodDkuE5g4AqxcTBx7znmqE5j7OdAOoUO05Sv/2UNg5kzcBaDlXDcG7UlxeqTC3EKvZ2YYOkMlhYHeHv/SYub+ceJQTCDMCLByEWYVwuJMIQJ3zxIdYVy/wR1hm6p1zsNfR9PR51F0r1QybEp2yifD3EKv4snCcLD9GMr/ugDlTbdDL/SYphCLaB/ns0wW5mOKiRNnApOQAC/onoSVxiJPFgJRiI4D8LuPhXIxJ9zEHrmBlupXUPbmNZ3yMxM5L7yGbQ/PCjdpXfJc68DgF1eO8annruy8uiYTQ+bmtSr9uhkuDL22u5XImP8W+peE7zPs7KUD9NIwb64f1MOFuR+ichAmwAQkAVYuuCUwgTEjEIXFSwAc6ccAIEykxiyrgBPuQ8Pzlej6yotoemYWBpu+j7yeNagrjBUpOX99CG/0foz+kVikDHXjfA+Q/s1irL434IzsjTDSh7p/vI2MzffYm25QqXlheKsDdVVv4d96E1GxYyUiRzqw5y8vIvtALmKCyivESJOI2xvfa8AxZyK++91MRNJ2zq/NRPmOaBx7ugp37XgJTywMkUWw0cOGoZd2R2UbaUP7+ynIWhRsQcc63g18QFZRDgccd/vIK2yY+5CTbzMBJmAgwGZRBhx8wQTsJeCIps56D65ctzfdkFO78Bb2Ra3HxhQ5ujln7mw47wzJZHsb0eJYj5LCXKRcPA08/ggir/ThU+V2yHmHksDvh5H4zHok+OqUhJKHv3G9MOx66xoS89MQfflD9FN6v+1Gy0IH5vmbtt3hJhG3lL96BHG9/YLb0PvduLrkPkQiCsuSZwH/bTeYANILF4Ze2p0ozaWLaJrXh6a9Ndj3UgXKG8Jt84M+OHsBfNGB+3zhDxfmvuTk+0yACRgIsHJhwMEXTMBeApFLlsKBbvTQxzSM/q62tyLmgaWaadHVSx1IV3ducazEGjLnGnGix7kUcfPjsfFwObLmh0EBZjsQM2E9dGP5vTGMyVqD+9pa0fqlFCwDMPBeG3D/IkyYadxk4/ao5Hb1UhsyEklBn4XFS5Lg+J/GOhjXqzBh6K3dEY+By5dw1/2PomhTPjYWpGDgcpgpF/09aL8JpMct0t4/HusxTJh7lI9vMAEmYEmAlQtLLOzJBGwisDQRGRFAyyWnTQnak8zcuffAMVexyb7VhvrmJBQ9pmwLOWMmImYAoBHQP4mVZjy845UbeG8MIyKArvZWpCdLM7Mr73cjdamP1atuOUxND/+53cDViw4si5YcnJ+NQmI4zFhNcLV44wcMo/OCE1mPxouO+2DnRdz8/OcmWGJT9j3/H5oRhfQk79vQmmLxJRNgApOIAK+5mESVxaJOQgIzliJlBVDb0oGBpxyIDJMiRK56Co5d+/HGRw5cfR9Y8518zdRo8MT3kdP5KGrnd+C+pY+KTkrXkUbMyc4Ms3UjEwvTG0PgBj64vAjRX6YZoGvouhCLZfkTK2+45O6d2zB+/4lD2UXoA3RdiEYGzVTdacUVxCMhXAoxgXJ453cNXe+mIuFZEnAY7a2XkJHtwNAQQApvOPx1tbcAc1ciMWzXhIQDJZaBCUxuAp8ZHR0dndxFYOmZQHgTGDpVhdXbb6D8p2XImugF0X6gGvxNNfZdXgBH1EwMXbgBx2JgzopcpPPAux/0XEEGT1VjZ/sXkDJyGtXnkrD79eyJWcztEmlSuIbOHcK2X9+DjOiZwB+0o/nOg0i5azZSc1PgoBk1/vNMwHkMX/veTFTQYnjaRODJs8j4RRo+OHkPsjLCYaagG9XrK1D3aDnqnpGzep4Lw3eYABOYrAR45mKy1hzLPWkIRCSnICfi+2hqvYGsx8JhlyPv6OY8XIjnHlbCrPMelu96IDDSB+cf5aJixT0Y+k03dkIxL/MQnL1dBCKS12NnsnqdiSzVyb8+CQz1XMPvl2fLGdIZsxEZB7Qd7EDSU9k+445LgM5W1N10IC+LFYtx4c2ZMIEJIsAzFxMEnrOdXgS6qr+BvJY1qNu3hk2LpkHVDxypQNaZTDT9fSya/q4KKC1HDs/8TIOa5yJ6I9D1443I61mPph0rJ25zA28C8j0mwARsIcALum3ByIkwAe8Eln35KWR9WI+GC97D8d2pQSAyOROF87pR+9IhDBY9y4rF1KhWLkUoBO60ou4IkPf4ClYsQuHIcZnAJCDAMxeToJJYxKlB4OrPXkDexWw0vJjGH9epUaVcCibABPwkwO8/P0FxMCYwBQjwzMUUqEQuwuQgEPNn+cjr+Qmqzw1PDoFZSibABJiAHQQ+Oo3qn8/Cc8U8sGIHTk6DCYQ7AVYuwr2GWL6pQ+DueBSVrkDz9w6ji8+NmDr1yiVhAkzAC4HbaPmHn2GwsJjNA71Q4ltMYCoRYOViKtUmlyXsCUQk5mP345dQUdWBobCXlgVkAkyACYRGYOg3P8GeiGLszA6HrXBDKwvHZgJMwD8CrFz4x4lDMQHbCDiyn0UZDmHfmdu2pckJMQEmwATCjoCzEdsaYrGzWJ4YHnbysUBMgAmMCQFWLsYEKyfKBLwRmIWE4uex4twr2HeOFQxvpPgeE2ACk5TArQ7sO3gbG7+ZyYcfTtIqZLGZQLAEeLeoYMlxPCbABJgAE2ACTIAJMAEmwAQMBHjmwoCDL5gAE2ACTIAJMAEmwASYABMIlgArF8GS43hMgAkwASbABJgAE2ACTIAJGAiwcmHAwRdMgAkwASbABJgAE2ACTIAJBEuAlYtgyXE8JsAEmAATYAJMgAkwASbABAwEWLkw4OALJsAEmAATYAJMgAkwASbABIIlwMpFsOQ4HhNgAkyACTABJsAEmAATYAIGAqxcGHDwBRNgAkyACTABJsAEmAATYALBEmDlIlhyHI8JMAEmwASYABNgAkyACTABAwFWLgw4+IIJMAEmwASYABNgAkyACTCBYAmwchEsOY7HBJgAE2ACTIAJMAEmwASYgIEAKxcGHHzBBJgAE2ACTIAJMAEmwASYQLAEWLkIlhzHYwJMgAkwASbABJgAE2ACTMBAgJULAw6+YAJMgAkwASbABJgAE2ACTCBYAqxcBEuO4zEBJsAEmAATYAJMgAkwASZgIMDKhQEHXzABJsAEmAATYAJMgAkwASYQLAFWLoIlx/GYABNgAkyACTABJsAEmAATMBBg5cKAgy+YABNgAkyACTABJsAEmAATCJYAKxfBkuN4TIAJMAEmwASYABNgAkyACRgIsHJhwMEXTIAJMAEmwASYABNgAkyACQRLgJWLYMlxPCbABJgAE2ACTIAJMAEmwAQMBFi5MODgCybABJgAE2ACTIAJMAEmwASCJcDKRbDkOB4TYAJMgAkwASbABJgAE2ACBgKsXBhw8AUTYAJMgAkwASbABJgAE2ACwRL4w2AjcjwmwASYABNgAkyACUxVAv+VljZVi8blCnMCf3j6dJhL6F08nrnwzofvMgEmwASYABNgAkyACTABJuAnAVYu/ATFwZgAE2ACTIAJMAEmwASYABPwToDNorzz4btMgAkwASbABJjANCcw2c1Upnn1TYriTyUzPJ65mBRNjoVkAkyACTABJsAEmAATYALhT4CVi/CvI5aQCTABJsAEmAATYAJMgAlMCgKsXEyKamIhmQATYAJMgAkwASbABJhA+BNg5SL864glZAJMgAkwASbABJgAE2ACk4IAKxeToppYSCbABJgAE2ACTIAJMAEmEP4EWLkI/zpiCZkAE2ACTIAJMAEmwASYwKQgwMrFpKgmFpIJMAEmwASYABNgAkyACYQ/AfuVi+uN2Ly2Buc9lr0De9ZWoO66xwCuGyItP8Oeq0GqIV/KxyjHQH0FUrc0YkDLoQN71Gu93ORW/Sld1a3F0znc8lXveSsn3StAqsW/zfV9SgJ9qNtSgD31OlnUpPXyqX7ar3u5tVuaQ0n7nOYhHb7KCou0fcYx5cGXTGCSEhhoPYTnNpQi7y9LkbfxVbzRfnuSlmTqiB1SnQz1oaXqW3C9c6cOl6lQkqDqduQ2zv+iCs/9TSnyvvqXyPjrV1HbesNeHEF/8zx/9937Asa+i70FACD6OwW+276+X6QT4vxefVyLfoESlvpc2vOl5OleVldfSIal/ol7v0/037z2mXQC6p0eyqAPork99ufUEJ7LqoaQvxROLYPsb2kcjAGn7NXUOUQvOR8tO0jBqMC2A+XIma+vM6roStTG5aPh1UxEarfikbGkErXnMlHiUD37UFdZg5j8gyLc+VONyFPcagj9L91PL96FBL0ngIH6w6hdl4sWgxy6QKos1JhPPYiWTfGgh6dCF0Q4F2aiaEkBsvY6RBh5Owmrl5Qia+2HqD6a75a3OQm36+ttON6ZidW9FUjd2u12O2ttjcGPyrc7OwpAPEp2nPXA2BCFL5jAlCIw1F6DjbuG8Xc/2oXUuQButmHPXz2Pfd98BRsTZ06psk6WwgRbJwOnalD5yw7gs7PQ1XoNMcWTpcTTR87g6nYY53/8MpqWP4+dT84SsJxvVuCJbz2LrtJXUJFxjy0AB3p7kL4qS9ePoGSVPoY5B/U7r/lnmr7ZFO8sMgzfcemnRRkDx/lf1qA5LhbpVVWoW27uL7kypHCw6N+4QgTqMpffKn4fHloVjawNBTiu9T1kOFdfRF5b9plMSYqyrivDbpO/5WVyPhqKK5C1pVHpK5JiUIrtncbQtWsbNQ+zTHTj/N5K1K4rU/p/Ucgpy8fxDd5ZawlOEYd9ygV1kre6gDfr4Fuy2lCA7YDomMuOq2Uo356klW6oQbMu5HYlbfLSNwJ01kB2nGM1BSRhUxma9nYAjysJnGvA8VW7sDuZrjvQdASoPVKAWl36oEbzuFOXbylSq2QA2dD6UFtFnfZKpB7RR3TlC3yI2i0ViF4VDcCJui2H0bMEwEJ9eOlO2LQL27ZUoe56vFSa5kchZ9NBLEYBCvdKxUSLdd2Jq9qFtWPgzGmguBg52VHIydaFoTqsWWBSwHT3yakqcb/sQA4pRL09ABaYAvElE5hKBG6g6eeN+PRL5VKxoKLNTULGqtso/Pkp5CWuxJypVNxJUZbg6yRyRT52rlBGbze4D65MiuJPaSGDrNuRDjTVX8Mv3juJJ36wBjRe6MjOxZMHK1H7o2PIy1iPZSFz68M7J7oRk0+DbeY//fcdgPiemsM0otCib2Top4gomcgwR7XpmjrkhUdkJx97C1CofMvdkr/eiP1HgGao/ZtM5K1rRK3Wp1H9ZUytDOvKUI1KFJrC5RXnu2Vh7RGFyOx8tCwEUrc24Hy2HEB19nZb9o/0aVDZskTfS+9LbnNfzHTfTeZuZfA2SwTM23EQJUqf0KUMSsWjZ6GxLQi+l2kgO96VyfxMlBefRtaGGiw2KJKuIFPNZZ9yQZ3Oo/lyum3DhyjyCJC08sOINswuWGuHKuxmnbKg+sEwIuCPNqzGlPnTlb4hqg9M81a604jUE/loyP9Qap+bZCMR4Xtz5QzCdScAY740Vbhfr7Uq8WTOrnzl9QLkvZoF1DeIy4fKyvHQGZq5aBPmXJoys9Wl2KSf6RMKgYwPJGw6iBb1wu/fDtRWAasPGB8Iv6NTQKpr8aApsZY4TKM4AaXGgZlAeBO42YHmc0DMcuPIp8OxCKi/iPY7K5F+d3gXYcpJx3Uy5apUK1DQdTsbc+YBQzdv41M1sRlRiF4MoHMYQ6pfkL9kymz5XRaj6/4mauwzyBmPcZy5OFeDrCpg2wHF4kEMXJZic71qneAqhzpr0SKsFlT/fJRsopH5AuxfqMaRMy3G2ZeDaDGHo4FgGoS1GBCWqUvljPpBWaKfRX1KNV850Buzw3u/JTK7HC3agKnS+c9XFQM1LU+/Uma6K/t6DwqrkCuegp9rwPbOTFTr+kKyTxmN6qN6CxmZAMnWgAoxwB2UxYknOcLU3z7lwlBAa+3cFSQW21wXmsulHSpeohGexmqDIuJpRIAaeKXr4ddS1Tuo8eZqHmpDlEpBJnCkR5cXpVcDxC3AAOK1znO6SUvVElMdJ6pQSA3uqE5rVe/pf7VZFOmZdUSaIqUXF6PkaCZKlGlWaBozhaOHpUCbonPjpaXfgyvXgQQrk6xzZ1GLaFSLe9ZKnd4sSpvy8/hCoEw9jQqYRnJohuZvvoXja17B7nVqR+0aap+uwMCmfShZHk7mJSyr1pzGzDFJGH/UJ2YD51ly6EP/TQD+KhcjN9Dyj/ux75/bcP6OOcGZ2Pjd11H4gNl/Aq7DXU476yRYvOHOyKpck0HmYOt2RiwKD7yOPMxEhFr2kRsYoHHAuTo/9V6AvyVHD6KEvoOVQLliXq0OKPqflHXfSBv11xIag5kLkn1rI6jf4DIbj0LOq2XoWVuKPQv1nfA+XFmYiZgq3eyEbkCXBjZdZkbxKLHs70iFAGazw/mZ2H00U5TUqKTIwg8sT0NeFfUpXIqYZmak68hT6MiF0Wjeqsiok4/und+rmDPpBmhlDrr/TXHEHU0Boz6cugZWF0d1igF19ULpSyEfDRaKhRpK9DkXkvl+QehWO2qiYfo7RsqFq1G4l9s8gu8eIiAf0VApRgeaTDMJxnTUfF0PAjVsmrqjh223oxGbjzRCb1KFdZnIO/Ih6N0UCW/TobqcVhWj5VXv2rUIrTZqH2survb2AclqevQiOIgcoWSUggyS3P6cH6IZ3Yghod2Uiw7sEaZr8sFW43pSUgwvTt0LQY1Hv4IhynTrQZS7Qhn5EIv1MlzvwPErwLKFqmIB4FobGvo/h5w/CifFgkZXWFZ9PY+J20/GQ5dOYvePDuGNqCI0P5fi6jiMiVAWif7uBroAWCsX3eixfNYs0hnpQ93zL6BuSRHKf1iMeaRsV1agNvrr+OlfxCNixkzMmW0Rb7y9JoOcdtVJsGwnAyNz2fyUeVI/bzOMSsRQ+2nU3ZyJrNI1NphEAWRS3LwkVxls7MOVy0DMCvo+e+mEGurB3Deifsk4zFwoZuvat158n9WB23iUHMjH5g0F2KMNZpLJdD6wfAGu6i1RlHQMRTJc6MqnmmifqEJqVTSqD/hnPh05PxMlR5MQvaUU++uzUNRbikKzmZGap2oxo14rv/q+nTRnMgWgSyuzNUUBo0HVHDRiT70DZLhea1JQVGVQHXwViswSi36QRbbC8uNolljLISxkDOuArSJMTr8xUi6stXMXIuuZC9f9YF2B5SvMijYpjWwDUH1Ur42TDH2ou1yKpnP5SEjuQ09nLKK1hd903z2/dKGlSy22x+N0XDxK9PZ4SnFJq9VGA5QHs5mUC6jKhW8ucg0EUHuqAyXJxtkTucicFCZjOuYHR39Xlkfvo3fLkYm8HcZ8RAih5ABFuuBD73ejGSl4YqnLc6CtDV0RSYhb5PIL3HUNdd86jFa/I96PvBe9f2xYVjPMiWMcsXQlcu4/BOf8pQEoFvbLayYS2DUtNq3AzqhiHC9WFaRYrFkViz0nPgbmzgph3YadZZ0scgZG397QY8lIL+nE1OvUeN4A3OrAvu+dREx+OcptWcwtBxjz8tXvnVWfQF9/ZrdrYNN8x3itD2dtXWAM7+FKGcB0ikFU6vQf9Lz5ixg8dMhdLGlNqcGk25S+OjCqDnKq/RxlQFENLcyq4mKFMtaw6jCyNtCa3EwUuS1+t5p5UAdSKbVAzL8lr+OryrAtrhLbTUqBKpv2G6dbByLkV9bvihkbYpaEKyeAvHWZqL1sXI9KCkyTYskiTdQpb5dliZaHm0MqYHKg2O3mlPEYI+VCp726oVJnENxuuGmHaghPay7U+/KXHsiDKNE8rUYEtJvCoWq3qq9+oZXU8KPw0KpYbD/Vgbzew6iNS0ODfiTeNFNC6dGaC1IGaKqRbDQ3q7sdCGUhGhkUX9+IRfhGbeG3qgmLERIxc3IW5zfFe34pqMKLX+Xlt6MM2Ooez9kbjepND6LpyFlDLG00w+Cr2FWa/PSXQlkhBskeWMctEIvq1Dhd7a1AShESNROSYXR2dgMrvHf01fiefxch58UtyPEcIOA7LKsZ2UQydqL91Gykl+tmvMziuV3bKO/8eUh1S1/1MA84qP6m349OoaZ+GEXfVRULeb+/n6Y9Qv2zsayTRU476iRY7GPKSC/URNXrFHjeaJbm29UYzH8Rux8zjAjqAQfmFrssxmK1mhyZGLv1CayT1K/vtAqhjoSb74n+gLBWMN/x71r0cciywNJsyZyG7EPliS3730Vu569xWAkiN+jJRPUOcxxP1zTwmInVxWRfQQu0y9GynDbf+VDuOqn01USfSVu7YUzLdQ+WOzbpQ6t9GJpBoEHd3cl9qCOlQJuJ0YdW3KaZC1KGYnYcRNGpAuy/HItmbYeoWEQ//iDyNhzGO9czpUmZWOyeiSIanNb+dAqRomi5rT0WMz9ahCntsE25EI1YNyLu725RcmF2koDs1hBEBalTd7p6MDUKMb2l26lKF9K4W5RyQ+3Ak7bZsFBdPKSMRiiNIkOx7YvMzkXe2krQngF5O8q1tRf6PKzd9KCSgqHYMqovJAqsNzGisihb0brSUUdIypGBAmXmxHXX7Dq/twbYlI8EbYFRPLCu0i1ewibS0sl8zPgX3MwFLQzvBq0RSUAUEg44sXltgXg4aRrSfRcpJzrPDWPZo4tcI7Qjl9B6CkgvXGQYkR44VY/a9hsYdAIJy2fB2XMNXXOzsTs/1ij4mF35KeutbtTVNOL4e7NR9N18JNwNXK35Bn668GVsWyW3QhwzEbWEA5T1zDCe2PN1pM+9jePbv4UPvrILT/6uGln/sAC1++QOK1rSY+rwU26S4eY1tN+Iwry3arBv6GN0XY5FyctrEDNjTAV0Jf7Zz4nnftDlo3NFYR5tTevr7/JlHEcqnojTB+xD53u3EWHaEGFC27+/ck5027ejTvRVEYg7UEbh8Mz5KzNxmPTP222c/3EVnF95EdtSlC1pm04DGWmGwa5AqlyEpe/2AQjzoe1i4E+uX3Btbe85RXV9pz6EXDQcLS0J1jUCK/RrHvQhg3fLEfXA4rtkzcPz5k7yuRq4dt1U0jXMDtDMhNyK/2pxMfJQheOBZa+EJuUkVtt4Rm7l6t4XFAxPpCFP6a9Rec3HAvibvRr3/CkAq4pRvYSsVh4EOoFoxCOv+DCylJ21fG5vS5YbcQtQ7m/mUzCcbcqFaMQGLS4wWjRF5PefebciiqhN1ampWI+mC21YDQLZQaYFyXvEgy3PuDDu6xyPjHW0HW0mVIVDi+7TIUcCRDDdoYHuoxiumQt1m1s6h6IoGUhAJgprGpGX7L77AHppgVYNmmkak6Yoa3Rnbjyej/0banDe465dLuHdlDrllpGVK7xcWK6cG6LuJKG9eGWeQpfSd5qud6DZCaTG6bSs33ajZWgWMr4YhaFTVdgXUYySJafxDjJRUjwLV39WivKbW1Ax9yTe6L8ldvvQFurpxYGd5gNyvYU/sj5xvQdxz2Rj6K/348pNIOHuPrSficCyR7wpFhMl6yUsLsjGUOt+9NNC4tmX0H4qFinPAhGOB5Hz3xdh3XlWQU+M3CUpwFBbGxoWJqKuYA0cM2jquQrt/WsQY5hFVOVUf22Ud2480pOBcpOJ4pXL3UDyI7qZOGDozjAi7nZfPzR482Ng3iLM0ytE106jrjMWz5WqZhYAPprY9u+vnM4TE9z2bagTtaV4+g21Lp0nwueZ87deicVkf96cRw6h7eFnsfEB9T3ch5a3riEuI81TVfvvLwYGk+RIOvU5TAuM/UuI+iaVuFq8Cy2b+rDnyFlkbDoI2hZ2c6+6A5N/KU1IKK2vJU2QNPNvRREhmci2fPYYAAAgAElEQVRKomhTFFDvLuEV2grXsF2sa9G4OvAL86wQcd/xIVI3VADKBj+yH2W9M5Oaq7eBUxFGbxalRlJ+hbJBg7/K7FRkdjG2bSnFnr2Zoj/obdMecf7Zql1ug9Fi0DUuRCXXJGe4XtqmXJgLqGqUrkPrZEPcTqvpw2YBi8uUijrSqbQNLXXU1Q6zumD5iNzfuXCL0ebOXGaf14qZkGtkQMagvJtW7EJ0TSm2i0WeuoNrkrOwraYUFfVJykF2FIdsPYHazhq5GD1ZmjBtpwVFquzzM1G0zuIcDAshvT2A7msuvNSjePEqZerthn5nLbmGAZh3g041ngWMOFH3g3p0IQUlS4fR9loEVtB6lYgUrBG7Rt1A17u3kFHkQEzca26zLcZi2Gg+QB9XsTbEt6yOxJXAb4+hYm4a9lBH92Y3Wq/EI/t/GaUzXk2UrJlwfHgMlaqsnRfR9EAs8oSJmgPRq4YRYxTUdDUxcpMQVy+1Iev/eRoO6pjfuYauziik+5wtsFPee5DxlUxUf+ff0ZIfrxyidxrHT96DwhdXaDNxg02vImtXB1I3vYTd64zrpOYkP4jVu/4dXR8BMfdSW+lA9XfqMW/TS8jR6duYO7Ht3185HY9NdNsPrE7WPPdaQLOJdtSl47Hweeb8rdfJ+Lzp63bgN1XYXN2BiHs7IDd5p3fGx+hyrHddC9MUaf8fzJagchci6hPIc7M8Dc6ZXqC6g/b06x9cC8GpM1tOJklrySIg3JQM+u43YLFuiYJ7+Vw+0koCGHB5aa7Fhu1iNW+dQxkoNXfOaVD5AJlWyTPSxICyl52ZKEGvdWO2gNFJoDqNSkIUFi8Bth+RM1aeZkio7yvPETF+A9Q0p8uvzcqF0vHslIfjmXdNeqiMFuY0CvOZZpi3KR1D5EKjVg/ao3x1lW560TjEw30W1UezcEWczKiuH8kSuxdkbYFOOfK0oNu9LGINBdSRE2VWZQewvzcLu8UsQwMyjh5EAx0CQzsjqEoCrd8wn+5IsyBxsdhWJk/WJOXEajcFefheKVL3el+g5ekBdJu5UDlqIxfu5ZQ+cqG3fk9qsYZh4SLcPPgt5NXORMT8JGwsfREVr1Wg/OkXkPrnZagQHV1lt487l9B+IRWrlcXfQ0NAhPW0hSchgvYPRNarp94GUrfIEYrL3WhKuR/P6Ueng5bCv4jByjpw+RLm/MkjUu4714D58QbTNP9yDz6U/3L3ofPdKKRkyVHIoXOtqFuVgs0RwxgamYmIcWIdkZiPfaWHUFlSij2U50wHsrZVIE9/OvfMmbgLQMu5bgyui9KUDkHp3pUof7kf5VtKUUs72sxfiidLX0PhUnV0VWGp7nYzUe3fXzkjZmKi277/dTILkZ93zSYN/Pr7KPn5NdnpJOwHK5BXHwE8VIzav1BML+2oSxOjCX3m/K1XTLbnTVe3N09j90un5SGy5m2eV6hnMdGOiT3YduCgOFcqa2+H98XLhlec2r9R+wT5KHmcOrsVqBNb3Hcbd5ukuMrIuPhGH6G+x0Hl1GZDwtqFOvBIHVRSMsRgp7fF1VrMsXRQP4eYlSPB6Z9ZVEjSqGtbynT9NEpQ66spqdN2/nsdAdRfgFKdq9EpCXK2qZb6PkcdqF1bgFTTmltK3VXPyjkihiyluTu03cYMN6fchW3KhQuqp4cnCpHCjEHd45ge1AKk+rt9lzf0VmZS+vBiRN24/Srd1sus7fsstGpqSKXyAD1tVye5WGfx3gLZoMWJ3upLRmZG6ckF3RYPglCmpGkT7dlMU6K0A1WMcgLlbjoshjrvtGWbWRtXT3esbMRDNOsz37XblCiD2KbNwmxKLCzfBWyxUDBURYFEN9hM6sGRu1Q7UDBL2SNbnl6uD6c8eHovmgHSpoxV+/pi7HxKP0wLYMc+sZ5FjTp44vvIOnI/6v/8Q9TFfQFF1JFzNqKuZyWeWOHqIKjh7f/1X1bK+5Pf9SF1hSzT1ffaEHP/o8ZOpf0C6lIMUNYbHyM1RcpK61jmLZQ8B09/DEeaqZOry8V+ZwBy02xQfzzyhNjDaDvVipy0Inx68iQ60zKRqm0OYL+U5hQjU9Zj54H1Zm/tes7DX0fTw92o3vuxUDK0G4pjTmIuduvO2THfp+uJb/+AP3KSrBPb9iU9/+rESDrysa+j9jGjn/nKjrqkND8Jm2fOz3qddM+brubmpqHiaBoqdF52Ouu2lOL4ql3Grea1vkUH9pgHTHUj44GajatKhp3yB5UWrR3Q7x5F+094GlwUfQpasO3tz31A1hB6XRkaFp5Gc1ways2b35AcdFCz/o8Yr62UPno59WH0bpOCQjNEntbM0KwFDbyKAWdx8KCrb6udebK2QPJZcRapW6VZestRl1Ik+5h6ATJRrfUp9f5Tz/2Z0dHR0alXLC5RWBHob8Tmpw9h2cuvY2Oid8mG2g+h4tQsxNwzC3N6LgIPLEI/4lGUHTs+I+sByEolGeqsR8WbQMoSJ47/UyuWfdN3Gb0TCOBugLKSklb+Wj9SHialYhZaf3NDuIfmZeIJ0+nTAUgReNBA5G6vQcav7kdDqdxlqavmW6hDChwL05C3yvUSD1yIMYpxrR573l+JkscC2dnKJcuEt3+XKD5dE9r2fUpnQ4AQ61JIEC7PnL84Jtvz5m+5dOGkrX632BbVl1nUf6Wp1gbAH54+rUuFnUzAfgJTqb2xcmF/++AUTQSGflOF9JeA3YeLkT6OI80mMfy6DEjWkRvoujCEmMQoRNw8jfKn2/7/9s4mpK5ly+P/fjwePQ8SEgh4EwchYF9CWkI+Bkk4A9uAGdwL3QNFNDScxkGCCA4SR+rAJoQ4EJzEIAo9uRlEiDiwc/OaZ8JFQmgEcZCbSIdnCHZGTUPT/eA2qz72rqpd+3x59Jyjf0HO3rWralf9alXVWvW10fsvxUMbTa8qrRXl/nA8tWq6y9KR4y//+V9x9v4/qJPDyvpvZQ8Nlv0DR3ecyvLAYbbuC46Sste6pXB8Un6U5O13x6fYmNNGEfjPr7v4w99+752q06i0lHtvNWn9rz8+Rd+jf8OfZdPxy2X8+e97D82wkHxUk9Zy+T7M562a7rKM/uf/8Df/eAwMC1m+1WDZL1sW+/VwjMpyv6gYngRIgARCApy5CInwngQqJfD1j5iZ/w/84a//G/977u/wT73+9zoqjYb+SKDlCFD2W67ImODqCRylkeTqc88Qh03gKMkbjYvDlh6+jwRIgARIgARIoOkJHCVlr+lhM4E4SvLGZVEUaBIgARIgARIgARIgARIggboQqOooWteqqsvbGQkJkAAJkEAuAZ5Qk4uGD0iABEiABJqUQFXGRZPmgckiARIgARIgARIggQMjwMHVA0PLiI8gAS6LOoKFyiyRAAmQAAmQAAmQAAmQQCMI1Dxzwen6RhQX30kCJHDUCXCE9KiXMPNHAiRAAkebQM3GxdHGwtyRAAmQAAmQAAkcZwIcRD3Opc+874dAcy+L+rqG+z2L2Kwlh+8X0TWyhm+1hGWYo0UgKkd7eDEygJn3RyurzA0JkAAJkAAJkAAJNJJA3WYuvi1PoHvuQ25e+or9+DS3iHXPRwHzK/3oFEPgwZr3xL1Z74k/u1Z8hCe9ba7X9PpiNx4ujqJ79jQ2hi+k7t7VFmZ6nqP92TjunPQeAKKQDn7BXUlf8Ci5LZPuxJ+56JtawL2Lqaswm0BR50G9L+ST+pWrkvn1vVZ0tzk7gKGX4lXKoRsfR0ax07+Ae6dL513CPT3zCE/OrKLrzaUSfN1kiDI/islt1y3vugMPnTIpJ1thLJVw2pwdxeS5MWw45eHHI+mdA8YisiEepewXT2H1cQEn/ID6Lkd+EnZKbkX+3uFWRMb2JRtKLqHrlpe2EvKu/OkyUjJgucTyKXn76TSeJPWqVNmaOu6mI4xT7kM5UnnI1vts2UYYhvG778699tl4/KNhSuU5DBBhEHqp+L5BZYQW5azkqIa60JD6C9VGJvWvgj4Bt8f89jeT32y5qfb09RW/7cqECwUyG0/oI22nTfsN6Ufe4qbTlodhUCe50u9uj7R52Tdql1rrEXJ1g0Np2/OyU4l7jkynQf02MHWPXFnZDOXP81qijTzf78ufhAvb7ZaTSeE3jSWPQfmbUC8sH6I1fNTNuDjRO46NXsn0FmZGdtE3BkxMA+Ou8tVbSKkYQVcOF/uxsdKfPrNXZSuDregllPLtaXQpBdpGKr9Web2Ae1Pv0DW4iLMRBQ/nT+G0Gyx2nakksUbYNGSx8J5bPZUQL2J9oyprqrCJorax4hhn54Ad5fN73Ly9iKGeHU/J15Fs4dXLDtx81gac1Abc/WUx8vYiFSubn/IVSTdwbupT2XJdq2gI3WAApCPSRlVMNmya23Cnvx1dgxNArHMsY7xu/rQIFB/lG6ZBmsrf2nSV97n5Zk0ZoqFR/G35OZZu/4CN0JB2ojx7rgOTDwawlNNpWAWir/hIzQq6hlWmbN06HnYczjthWHbNBopSkAZ594QbTl2bOtwzEZHVjOfUIagL+kEHHqY+nCvbSWbLIJNnJ5S6dBmEz2q8b0gZoTU511oXGlV/74z14/7gBF6oNqeAJyuFHKVrDRnDQuRJ+tKpRXRF64NRfjJ9lg63WpxA98iaUfqszPtCuuQM9En/MY65dFBR4l0ZTwZbvi2/xfrtH/CkRHuDWuXKTdb7RZOGDxhy0qe9ZOusDVprPWqUbNh0N/xXtWliND7CzelR6P7f0SOCBGbaSNUXGE8l+4V+tJZMXsC9lQXcC/KvbkvlM+b/CLjVzbioBwuruIRxhTMX2dHL/AYkjEuPlDxPnS9qAZ5Y3sufBUl9Z6+2F9Hds5hxdxth+7DPXKQzBuIwiq45QGZ2DvzPMeLUKEveC0+24c7wAq6fmUD39Bquuwbi+3eOgtqGO4/HsNOzis3efr9i1UupUvGUMB4HBzCZyYc2Hs/+NIBXV2UmJvWg2P/qd4L6qelMz11KDQLbUf+0hetnnqedaBodEBivSjYv/zuevgTWTdnKzFDf7TUsJUauLnMbTSIrt8cwj2lj+MjTKmXDY5W+Q9eXPSypmcXQoLKGtryvDZ3D49j4UUYc32Fz+ELKQh5/XcPEHPDw2UJ2ps9mpqZfK0fP8eLHCypuUQqBS5XF5pTTneEL+PZZTORTpcM6dUF7zBq163M+w43HwLevABxlaUkMsdJvUjODd8v6qdRDo8rIUVx/2kLTc95PXcBaY+qviMDJAp5MfUGXYSxO3053Y/XGXNrPiNEdDsZ5+dWyNOm0jUkbI4+SPittJ/Vgizz8gO6eL2omW+5SxVDqh51lNYNlZ9pw4qIZVHQVRvX6rZz2Rj104q1RrnQ0aqCoW2ZhVhYSo0Y9Mjy+m8pbeVBjPfraQNkwea76R8rGWRkS6lOZ+IzcZPUsM7vwQGYCx3Xf8PgRMDKK+yixikS9QLevapVI5oVZB19Hai2ZzObmeLrU0bgQ4UmnhJYGNVCteFeh/AejlWGxxEcvtS9lnHz+wZsmFiFVCqZd5hFGCEBGxp+Ie1AJxSljOISjPuF9bJoXpjE27+4cXsDGMKAUfFleJEtkpDGcKzUT4yqBkUzUyenT5z3goh6FyM4Y7OHF4hr6+rUhlPAOO7o6pSWNJiY/TmPlKHuu8dj5Yz+eDi5i85lWND8uT2ASYxAlcaZn0VmOZGRXyjJZ6mPeLkqokp0LZmZOl+XPN/Ib081ZPWux4S3Z68e9sMyjsrIP2VBJ9lkpGYPI2nRkNkIzlGAxw97thNx6sO4oLanyAcQV7QIqU6xl1EcvX5S0DL0Uec9bzphKRnKVlJNxOXfaVzYSj/6F34n5Mxdh56r8ivw4MuLm34/Z3Ckl50v0UbWOjS8jowi6bWlTc66tLtiR6UOvv7YdS2TZ71MTeXnpDBB4/Y+f38R/9CKt+7Y/Em+6TdcDLB+j4aSfXMXkdgHzrhwEfqW9+SQz414baPu3t2h3BnxU0CTPJqIK5ErVRxkocge/JHhiWPjLkG0S91OPbr1pUNtuZcNmoppfYSt9tGmL8pd6a5mILhNXfcgAhqT9M+20ToIMDC3g+vIEumZ93auaJIZ+W1UmVT6O4SxFWH5yX0fjQqKTxu0SXnnLok5jqedd7N1xN7fhjPvAtaLzQEZ6Vsx97zjmZwfQ1WMb2T18/BXAVce/TMN6lcN5ZiuhOMUERLk5/uUyGQXy3b2RIvPIzlzoW1leBMDNizxQ+dHLx5RiaI0PP/oa7szIvLfnIR2ZTSOMuNkOTHUqgJ+PNOSBXgWGX9/UmHmd3wGn7prl3dsDePWLNobOytI9E+res13c7xlI9gCJkpjuv3BZWVnSAWWvRmhYSGeV7J3BHj6eKeA7Z9Qblh8AaTSVIauiy5PFGmVDRtVjf6/nMCTKQJ7cGwNbL2u0EZiOptiOyddS5mtYUnHkjQS6o5wmjgoUa1e5V4o6ZImDzI5k97qcONOO9QdGPoWpLL0czJvVchQwmyX1q43067/oPWKq3IflQapsyd2Jy1eAwbAuZA2euEHlvbBuMxdZY/9wysgqa/5+OZvHFuNcti40rv6mdcEdSHKuQ+Uw1h8pOU4H+Wwp+b8S5w++k9yp5UVS98So38s+ty6qn5Qbt53UD5NBCKmfw3qQKu3HgBfTWjlXexyNEVCLXMms9BD68VDai8jKAUnNujermLbjtdejPbz43KC23bLf9+9aZOmYG6k/wKKemL732vmOzEy9G/La+efo6nkebbtdf1Vdt5BMZvbtVpXRo+e5zsaFjBrs4lOUk68Eai+RUc2aZi6c0WSZFZBlHSNrGH/8fTQl1jFtzLOKkVpace5S+dFPR3HUIyKyqUxvjk6VUJ0+vZ/BvN1yej2Hrrl2zJvRdZu2+v/qEYY7JuK0wU/XSvpKcpgCPWsRuh74vWM8+ksBtjCjXh5Z5+go0aLMd0onJrNC9s8xVMLRae3FsAqUY+GjNrI7o3FpmVuObbjT2w9cPoVP7oEAzjttMvzftPNL6lC9ZONGERuPbfr8t/p3rrIg6RlXhy1Mbu+gfaof1x7IPhy7Z8dReqB5aWXD2QTvlJ3/nvROj1A59SNRXFI/yZVr/BtHtSY98aAvVL0OZhjUE1OeZ0/q2UrfmAoMPcfID6I3t359Uo6qjGP7lOIx1OZ6+GXkDni4aW5JzmXrQuPqr64LvpEry5Tc5U3C351RlIEL9ZfUtS28UoN8eYMANv5A3qVuPNB7te5gDTPLp9GO7GykHTSz7aaMWkufotrBcJO4KyzqOqgzOXWsErlSrJRxs+gvscq8Uxwkz+EAZy31qHGyEc1WTY5OP5MJb2UjfaDKQi0jDpadmcGY7CyHcB1AlxyWYozLNLZ2SNuL3dSl5FWLyWTJvBzDh3U3Lj7+8hbr537AiagEOQpJoLgl7KuduVABdaOlpuZ6PqjG5sljeVBi9MWMIm8MO4pNkghg9/MHXDvjK2QZg0OUHTU1LJXSTAObDdKdwVShNMLun5p6P9+hWK3eeI7uQVHaxNjScaXruJ2R2nD6142wxmutHH/QmwOvtmP9jTAz+RZlyZzi8215DpOyd+C8VS5rfGGtwQLlPJ2h8HnFlqkI63Vhq2RuEetiEAZrdBWHYEmdl1S13+CDs4/CPjWNtcPKPsn8JoaokTk5mUvkJ6gL+5ON7MiUnukL3hkkTnUiL7WRnc7gmGUwZmbwjmwuNX+K1+AAfvZObNvDzjaUUmL9Vf+r01nqVLFYGafv0bM+fVORJVW7X9RMlbtMy+Y7DZ9z5Q56WDnK8Roqg9Zb6XRbX/m/Nq1qtsVdkuIYZIdTRpLGJueslt3UVhdyS+BQ6m/49myfmSxrkTYnu90PQDbffqzB6LQrz2rGVdq07/FRZixvF7D0q38qnsjhK69v3MOfXn8Atj+gewTehnA5+eqWebmS35jR7yWuOrnygqobrSBnld7UZ33qURqfumqIbARpqOi2OtnQRlxFERtPrgHp6F92MLXSqI6UTJpMx1a5JHJTKZjW8Vdn42INk3PSGF5Qmx6/255Gd4/AKCQNTIImGWlJXPSF24kHj+RWlJrsiTHao57u3MOL5S3gop7a3dnuyK7vjMTrOalNW+ZEJO9BeGMVW9mwGz4z99ZY8vIlDWgBN4syl9Gm9nxsXNbHv6rTM8yJA9IIhiPlOW+pwtmmWYKMYsI9MerrLq79uotvuACoo4WBh1Pd6lSg3c/tmH8sMzJr5kSpKl7peK1sGUnQ+Un4yKg17AxF3gkNEs5swFNJMMpl3lI2wCzxiFV4b5TNMLT+pCF8sIa+orDawpKz90iPMhYwP+VAKHm5X9nwR6aUDKn3SaM/hpmeAdy3BoFq8Ntx66ReriX7gDJ/krfw1LdwGVVg+MHZk5GczJaJOM9Bp3MndkS0eg9wy1Wsg2jUiVgycntRyshuQHU8RU6As6Owji/vUhuejpMnC477AV/qke3ISw69jKQdfo6lZuaslgjWUhfc9tHOEhxm/Q3Lt8KZiyRYOJObUw8S/4AMZnw3tYC7bwbw9NcOrCdLZzvQ/uMl9A0+x5++FvQhDqo9LeCu21aY5bIyizJ/4y0mlr9Xx5Qn+zLe6JfJHrhrg9OYkUM2cupwLXLlZKWiy9rrkbAcTQ5wOPy2vaLslfHk1wnfs+TPOexGHoZtux8AflufPtz3QMpRlEmrL6SYjvRVnY0LV3BtI6cbt4opWmW8RAB3z4Xq+CPf15h0l8F4yo6OOF+h2FPrQtdvj2WO0HNnM/Toh+RXHz22ObuGp7E0W6NCKmnPtJohWD3zHJ+KRfRhDj/HwhyQm5vmWzHD5eRpaINQhsOcETNRJodl+n0PuZv8Kkxz+UbHb+B0miuM3PWmuLepsvxOTuKa+xI3UEwYrUCW25CWjqqL/KjNiqbxTfPVpk/NUiMvzndS3i9m9+cEa4JlRF0614OTDamTYmCMYuaMf4pWXj2ySPPWNet826OkdV1PvtuhGLy1UVTxewF9xef+SWUS1wO95Cg8YjeNWJ9Qc61YRKecfGX21YjiJMpM3ilS7qlQaVzBVWTwoGLZrFOn0jxldBQ459UF0281Tf112uFImryZixKKoF3O5Eq17QNF2ZY6tSlGwI0i5s+N4tX7S4CahTR10ZxepWaBpW9MIjKHfKgZDuB0bxE3Z1cx8zo9Djv5CO7JAu7KEedyKMjF2PeBapOrJCkVXuyrHkl/HymHzIDVobft+ZkP2ylvWV0smNWXVLtl2/bQo+6nS80QeSFkYO/2JUduvKeZm+MmkxkAR8ChzsZF3pRbZOZC4EljGH6IzCrjOXClYXBnLrKbs0xA1QDozWO5H9rLvEMqzDSWpFI5J8Job3pz+HdX9ZIhf/RDRpvLzHQ4I++bs+9wV9YjLmcSADnRaMgzltJNpbYzyIaqzMVNc9Lgx4K6ylCsjGJhyrrp6VLlLROnu2RHOvd0SYubZvcVqoMotYzJzHKpD+Vd3vX2XKjGtuz0vPs2u3RpEWJ0bjzW6bOdVGpYBGHC24Srm18btz5RSGaIapaNy+ELY/daeVJPnA3g8Xqk68Mn2ch3w3zsMRaldZNjis+fCjb8V7fOVspGne4mhzN8HtDHYk4BQzIzNFXqCFxhauqu3RMjMwzPgPtyYthKv/5mTeQUmnL1SsuazaT/Wy6sbuP8MLXeNUcZHSXO8bqQWz4HXX+t3OYmoIIHSRqt38DgN85Sz6KDYWa5sPqw7fkrWFX7k4p4ODKKmdkCll7KgFraPuvlsv1YvfoFS3J4iuy/ugp0ib/IPq/O4TH0SR/7vhDMXtQuVzan6lfNxn7AknOUr/c8nHVNHlbZ1iXhzEXC/YDa9n3IRl4fGmah3H1uv6l0rdjHEm2fL0zWgO01dKlTAMfViY3qfcnS8tJvlzy0rEyWztqRfVpn48KdubDMdONm7zK/505jd3YA3ck3APJOH3FDGoU7xxCxSt+14hhuvi7tV0bjZZ243owaHtepG5xk/4M0IJHpXDWVaxpiN5V5151qFgBquVHoR51opD5GGD4J73XaEHz1O/RV2X2aT30ixBe1Y0Y+kJbZZ1JZhDm+dMM7ud2hllu5nq6PjWFncABdwYyJ8pM7IheXFa3wAX96DTwck47Q30GmGluJc2Q3e4yhmyj32lsKY3kVMP/sCp4OOkuN3DDqWvK8irNm32XmceCwL9lwjIUg2vzbyDIh7dnk0dQx6Vi6RiLHPiYx6xHMazcexQ9BKNmJ6Dqol8wVMG+WXChF5OU0hh5kD1xIXqsujFwhkj5Vbtr3ZmQflTypdeai4rB2061OhrPUINZeWk+V/B5mGUl6WoxzJQhdP9G6cIj1V9IiBjqQ8zFHnVh3AEraOvdDlm529nOtPj6Y1OU2nD0HTL7UBr47c7j7WdrYAk7s2s0fph3I/YCozIR0oPvNFu6ppcuSylrlyiqvNqdbmJHT42734+Gv0+gyS7LnV+QbTKlBZH2nv9XWIxvykGVDvVandT/9vtKPvM33JfjLO81ArdqraAbWLAH1q9rY02rJbVfkMIHEAF0p4IT0uzIzkqO7efEGN60hk0Gij/FtnY2L6mYulLCc6UZnrz7bX8pBWcdiaCQjAeJqKr8qqPwO2QtrvxTam55moZYlufEqpVWWWohiO6o2p/rncpsp8hICog0ZOb4vNs1bIuB+H6kRmgLuRoydaqK2hpiMCtuNvIrjiN7EJ0vB+q6Waphz3ibToOdPYdw8TsrGGflPQ7bhxEmznMg2PmEj5ZSbxJXsRRH/zuyXeqYilo7HvD2mdJdUdk3K1B6NHWBkAOvq9Av5PoY+5lE6dSsrT1akYR1F12f/GwhQGyvNUh7pfMMNXZGp85RJrVfZOuguI3Rj/SaHL+CK6+Qovv7m7sQg6xnILJnzlANnhE3Ff/5KIgP+i5w7Jcvp8g+RyS4ze6flUuq/GJ7IfpXY6/hK1UG9UfS7KTooPnkAAAo7SURBVP+QBomy3OyDqiOfnfSaS8XkqvlAleos2/BiZBSyibXvsz7q1m/HJOAWZtTyrgWo43Bnt7zvZmTfEnFR7ZY+WMGttwdbRrInzByGUPJgiWbhLNz2WRcOu/7a/mjqCn4eHMCODBy5SrFjKN+paAAqkB1bV5Sz1LdsXVCP3i9iSM1QyHPT90r7uyLHyks9TPtg+eimMjaS8Rut8NtTCYMUqFs1A2cf2DQ57bt95P/my5W7LyCtD4X0FCvVZqVpTuKtqR7Z0CJbh922i6Ivp3HW0u8bA2Jbt3fh6YHXxxawgTVzPHvaFlu2wvVJSV1D60p9slezZxFi0KmldrMDRpZM2yz97rNTuF9m742lnPy2mkwmCT++F3U2LiIVWDVOcgycWbtp1/Mp5qaBsw2McjNxfN3C5lfghPp4TKrkq45eNRZa+Uk6cfM10eimVHcqVBqUngG1xOLWG2epxcqCMmz0aEcZgXBGc3UjnHfsX5l4Mo+znaHnxbX2RfGtYg2jisfjrNmfOGm+sOq8SJQU+V6IXmefjiQ7XqKX1lCxD+2omjYsYrJhfTq/0visdCslbWj2UsWK167agP5BRdQXUSCdN6SXHg+Rp8CIOn0K17CGdRkRv/oOXXIMq1sGSUwin4/QLksH3pvNiqp8HGNDOt+8DlSlo9yH1iqQjR8lQT7n1NiKbc4TGZBGP+14dHi9BjvJnr1QZSNTML6yL18VV8vP5OvYjmEgwfqmxvXIqtORi7uVDRW1nRUSDj36ZK/kC7DKQ1r/JT+qjko5SJmY5VLZjs8dkFCR6LIr2UEaf0FaxdWXDSduScfKJWV0dqnZ1w48PI30y8UqT/p7KtJB521kNW8u8dPAMjI84gqGw8KmXpg0mrM6LaqWumAy0YD6Ow/TH10E7qgBC2NQW655v7ZNKjdgYutZXjzGXQb9pKxPq7osA2cL2DAfcbtn9xzIN4Lse6PxufJq+vnQ337kyq2jqg7Gp4aTpYTiv2cCD58VgelR6NPoRD6qa+vUBzQbIBvJhztr6Pd1/ytlkJajXxQyuCcu8s0wORFQys4eJ+vvufD6eOFu5MLGl/C2A8WZj+753/JKZkVMBF6/YCNV+4GaXSZdedcJj+1TjLnl6gVO/lvx8q9+++233ypN+F+upKOcv39by0bNSt9Ef+UIKKWxbh/YK/c2PicBEqgXgbSD9pVfGz/bWUuCvyRAAi4B9vsuDV43MwEaF81cOkwbCZDAsSNA4+LYFTkzTAIkQAJHikDNy6LcDvBIEWFmSIAESIAESIAEmpYA9Y+mLRomrE4EWn110O/qxIHRkAAJkAAJkAAJkAAJkAAJHHMCNC6OuQAw+yRAAiRAAiRAAiRAAiRQLwJVLYtq9WmaekFjPCRAAiRAAiRAAiRAAiRAAlkCVW3ozganCwmQAAmQAAmQAAmQAAmQAAloAlwWRUkgARIgARIgARIgARIgARKoCwEaF3XByEhIgARIgARIgARIgARIgARoXFAGSIAESIAESIAESIAESIAE6kKAxkVdMDISEiABEiABEiABEiABEiABGheUARIgARIgARIgARIgARIggboQqLNxsYcXIwOYee+k7f0iukbW8M1xwtc13J/dcl2g3HoWsem7YnN2APeX94zrFmYifuTht+WJ1J/E3zOArhL/aZzBC3lLAiRAAiRAAiRAAiRAAiRQE4GqvnNRyRvOnuvA5IMBLN0ew8bwhUwQMQK65z6gr/hIGRwnjI/NnxaB4iN0ZkLU6lDA/Ep/HeOrNR0MRwIkQAIkQAIkQAIkQALHg8DBfOdCZg4Gv+CuKPcyc7F4CquPCzih3N/i5rNx3DnpAFbui1hPnArou72GpZeJQ/zi9hjmMY2hwF9fsR+f5sz74yHpSgIkQAIkQAIkQAIkQAIkUGcCdTMu7IxEtenrm1rArTcDeHrmEZ70tmWCy7Ko9Jksi3qHW5EZCc+fNW6encLTQddosdF34GFo4NhH/CUBEiABEiABEiABEiABEqiJQN2Mi+zbxRB4jvZiOyZfA31Yw9J2bKnSHl4sr2Jnbg1LNpLz/Xqmw96X/ZV3TeNT0Rgo1rhwjBDP+CgbHz2QAAmQAAmQAAmQAAmQAAlUS6DOey5kQ/coJrclGWJIjKtlUZPbO2if6se1B4sY6lkzabSzB22409sPXD6FT3YplfiQ5VQPrN9YthxD5esuPomX13PommvH/LNTsQB0IwESIAESIAESIAESIAESOEACdTMuZGZA9j7IMqeNi06KL/ZjY0Xf31kpJA/UMqrBAfxsZxuSJ85FMoOhjZad/gXck7jNzIT1qTaDn+/A+rkfsHrjOboHxSgp4C70jEYyI4JRdM0BSOK1MfCXBEiABEiABEiABEiABEhgvwTqZlx0Di9gYziSHDEEpoFx2dDtPD7RO46NXnEQA2A0WRK1rmY2CpifcjyXvNzCq5cF3CzuAGiDivey3lAOXMC9lQXcA9SRtunejZIR8iEJkAAJkAAJkAAJkAAJkEANBOpmXJTb0N3dsxhNnsx0KAMg3CfxfhHYXoQXTo64TWKRmQn5vsVzfCoW0Yc5/Jw84wUJkAAJkAAJkAAJkAAJkMBhE6ibcZHORLhZMButz3cAN4rR06Bc35nrZPlS/rKo3c/tuDvcBixnQuPj8gSG5j44D8yyKADXSi3HckLwkgRIgARIgARIgARIgARIoDICdTMusq8z+x3Mx/RkT0bXSCWnQIkhsYqz/dkYYy6dw9qj9wVw4/FssvQqFtK4JRvHnQ3iJbzzEQmQAAmQAAmQAAmQAAmQQJxA/Y2LRFn3N3erPRnyrGcAgD0pKkzUGoZ6dtQ3KDp3K1sWFcZQ3f0WZh7I+xZw/ZcJdM9uRb8qXl2c9E0CJEACJEACJEACJEACx5NAnYyL8AjaBXTGeKqTo2SmQWY1BtAlfszMBna/YN1ei/tuiVOdgtOiYq8CxFApcZStelc8JF1JgARIgARIgARIgARIgASqJ3CAH9GrPjGNCJFuROeyqEbw5ztJgARIgARIgARIgASODoFjb1wcnaJkTkiABEiABEiABEiABEigsQSqXhb1lytXGpviJnj779++bYJUMAkkQAIkQAIkQAIkQAIk0FwEftdcyWFqSIAESIAESIAESIAESIAEWpUAjYtWLTmmmwRIgARIgARIgARIgASajAD3XDRZgTA5JEACJEACJEACJEACJNCqBDhz0aolx3STAAmQAAmQAAmQAAmQQJMRoHHRZAXC5JAACZAACZAACZAACZBAqxKgcdGqJcd0kwAJkAAJkAAJkAAJkECTEaBx0WQFwuSQAAmQAAmQAAmQAAmQQKsSoHHRqiXHdJMACZAACZAACZAACZBAkxGgcdFkBcLkkAAJkAAJkAAJkAAJkECrEqBx0aolx3STAAmQAAmQAAmQAAmQQJMRoHHRZAXC5JAACZAACZAACZAACZBAqxKgcdGqJcd0kwAJkAAJkAAJkAAJkECTEfh/RLQK62aqa6UAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面演示一个具体的例子。我们为读取的图像中的猫和狗定义真实边界框，其中第一个元素为类别（0为狗，1为猫），剩余4个元素分别为左上角的x和y轴坐标以及右下角的x和y轴坐标（值域在0到1之间）。这里通过左上角和右下角的坐标构造了5个需要标注的锚框，分别记为A0,......,A4（程序中索引从0开始）。先画出这些锚框与真实边界框在图像中的位置。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"170.656221pt\" version=\"1.1\" viewBox=\"0 0 216.84258 170.656221\" width=\"216.84258pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
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   "source": [
    "img = Image.open(\"Datasets/catdog.jpg\")\n",
    "w, h = img.size\n",
    "bbox_scale = torch.tensor([[w, h, w, h]], dtype=torch.float32)\n",
    "ground_truth = torch.tensor([[0, 0.1, 0.08, 0.52, 0.92], \n",
    "                             [1, 0.55, 0.2, 0.9, 0.88]])\n",
    "anchors = torch.tensor([[0   , 0.1 , 0.2 , 0.3 ], \n",
    "                        [0.15, 0.2 , 0.4 , 0.4 ],\n",
    "                        [0.63, 0.05, 0.88, 0.98], \n",
    "                        [0.66, 0.45, 0.8 , 0.8 ],\n",
    "                        [0.57, 0.3 , 0.92, 0.9 ]])\n",
    "fig = plt.imshow(img)\n",
    "show_bboxes(fig.axes, ground_truth[:, 1:] * bbox_scale, ['dog', 'cat'], 'k')\n",
    "show_bboxes(fig.axes, anchors * bbox_scale, ['0','1','2','3','4'])"
   ]
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   "source": [
    "可以看到，黑色的框为目标的真实边界框，其他颜色的框是模拟的一些anchors\n",
    "\n",
    "下面实现MultiBoxTarget函数来为锚框标注类别和偏移量。该函数将背景类别设为0，并令从零开始的目标类别的整数索引自加1（1为狗，2为猫）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def assign_anchor(bb, anchor, jaccard_threshold=0.5):\n",
    "    \"\"\"\n",
    "    按照以上所讲，为每个anchor分配真实的bb, anchor表示成归一化(xmin, ymin, xmax, ymax)\n",
    "    Args:\n",
    "        bb: 真实边界框(bounding box), shape:（nb, 4）\n",
    "        anchor: 待分配的anchor, shape:（na, 4）\n",
    "        jaccard_threshold: 预先设定的阈值\n",
    "    Returns:\n",
    "        assigned_idx: shape: (na, ), 每个anchor分配的真实bb对应的索引, 若未分配任何bb则为-1\n",
    "    \"\"\"\n",
    "    na = anchor.shape[0]\n",
    "    nb = bb.shape[0]\n",
    "    # 计算交并比，得到一个矩阵\n",
    "    jaccard = compute_jaccard(anchor, bb).detach().cpu().numpy() # shape: (na, nb)\n",
    "    assigned_idx = np.ones(na) * -1  # 初始全为-1\n",
    "\n",
    "    # 先为每个bb分配一个anchor(不要求满足jaccard_threshold)\n",
    "    # 相当于找出每一列的最大值(隐藏条件 na >= bn，即anchor的个数大于等于真实bbox的个数)\n",
    "    jaccard_cp = jaccard.copy()\n",
    "    for j in range(nb):\n",
    "        i = np.argmax(jaccard_cp[:, j])\n",
    "        assigned_idx[i] = j\n",
    "        jaccard_cp[i, :] = float(\"-inf\") # 赋值为负无穷, 相当于去掉这一行\n",
    "\n",
    "    # 处理还未被分配的anchor, 要求满足jaccard_threshold\n",
    "    for i in range(na):\n",
    "        if assigned_idx[i] == -1:\n",
    "            j = np.argmax(jaccard[i, :])\n",
    "            if jaccard[i, j] >= jaccard_threshold:\n",
    "                assigned_idx[i] = j\n",
    "\n",
    "    return torch.tensor(assigned_idx, dtype=torch.long)\n",
    "\n",
    "\n",
    "def xy_to_cxcy(xy):\n",
    "    \"\"\"\n",
    "    将(x_min, y_min, x_max, y_max)形式的anchor转换成(center_x, center_y, w, h)形式.\n",
    "    Args:\n",
    "        xy: bounding boxes in boundary coordinates, a tensor of size (n_boxes, 4)\n",
    "    Returns: \n",
    "        bounding boxes in center-size coordinates, a tensor of size (n_boxes, 4)\n",
    "    \"\"\"\n",
    "    return torch.cat([(xy[:, 2:] + xy[:, :2]) / 2, xy[:, 2:] - xy[:, :2]], dim=1)\n",
    "\n",
    "\n",
    "def MultiBoxTarget(anchor, label):\n",
    "    \"\"\"\n",
    "    按照以上所讲, anchor表示成归一化(xmin, ymin, xmax, ymax).\n",
    "    Args:\n",
    "        anchor: torch tensor, 输入的锚框, 一般是通过MultiBoxPrior生成, shape:（1，锚框总数h*w*num_per_axis，4）\n",
    "        label: 真实标签, shape为(bn, 每张图片最多的真实锚框数, 5)\n",
    "               第二维中，如果给定图片没有这么多锚框, 可以先用-1填充空白, 最后一维中的元素为[类别标签, 四个坐标值]\n",
    "    Returns:\n",
    "        列表, [bbox_offset, bbox_mask, cls_labels]\n",
    "        bbox_offset: 每个锚框的标注偏移量，形状为(bn，锚框总数*4)\n",
    "        bbox_mask: 形状同bbox_offset, 每个锚框的掩码, 一一对应上面的偏移量, 负类锚框(背景)对应的掩码均为0, 正类锚框的掩码均为1\n",
    "        cls_labels: 每个锚框的标注类别, 其中0表示为背景, 形状为(bn，锚框总数)\n",
    "    \"\"\"\n",
    "    assert len(anchor.shape) == 3 and len(label.shape) == 3\n",
    "    bn = label.shape[0] # bn理解为batch数\n",
    "\n",
    "    def MultiBoxTarget_one(anc, lab, eps=1e-6):\n",
    "        \"\"\"\n",
    "        MultiBoxTarget函数的辅助函数, 处理batch中的一个\n",
    "        Args:\n",
    "            anc: shape of (锚框总数, 4)\n",
    "            lab: shape of (真实锚框数, 5), 5代表[类别标签, 四个坐标值]\n",
    "            eps: 一个极小值, 防止log0\n",
    "        Returns:\n",
    "            offset: (锚框总数*4, )\n",
    "            bbox_mask: (锚框总数*4, ), 0代表背景, 1代表非背景\n",
    "            cls_labels: (锚框总数), 0代表背景\n",
    "        \"\"\"\n",
    "        an = anc.shape[0]\n",
    "        assigned_idx = assign_anchor(lab[:, 1:], anc) # (锚框总数, )\n",
    "        bbox_mask = ((assigned_idx >= 0).float().unsqueeze(-1)).repeat(1, 4) # (锚框总数, 4)\n",
    "\n",
    "        cls_labels = torch.zeros(an, dtype=torch.long) # 0表示背景\n",
    "        assigned_bb = torch.zeros((an, 4), dtype=torch.float32) # 所有anchor对应的bb的坐标\n",
    "        for i in range(an):\n",
    "            bb_idx = assigned_idx[i]\n",
    "            if bb_idx >= 0: # 即非背景\n",
    "                cls_labels[i] = lab[bb_idx, 0].long().item() + 1 # 注意要加一\n",
    "                assigned_bb[i, :] = lab[bb_idx, 1:]\n",
    "        # 每个anchor的 (center_x, center_y, w, h)\n",
    "        center_anc = xy_to_cxcy(anc) # (center_x, center_y, w, h)\n",
    "        # 每个anchor对应的最相似的真实bbox的(center_x, center_y, w, h)，如果类别是背景，则为(0,0,0,0)\n",
    "        center_assigned_bb = xy_to_cxcy(assigned_bb)\n",
    "\n",
    "        offset_xy = 10.0 * (center_assigned_bb[:, :2] - center_anc[:, :2]) / center_anc[:, 2:]\n",
    "        offset_wh = 5.0 * torch.log(eps + center_assigned_bb[:, 2:] / center_anc[:, 2:])\n",
    "        offset = torch.cat([offset_xy, offset_wh], dim = 1) * bbox_mask # (锚框总数, 4)\n",
    "\n",
    "        return offset.view(-1), bbox_mask.view(-1), cls_labels\n",
    "\n",
    "    batch_offset = []\n",
    "    batch_mask = []\n",
    "    batch_cls_labels = []\n",
    "    for b in range(bn):\n",
    "        offset, bbox_mask, cls_labels = MultiBoxTarget_one(anchor[0, :, :], label[b, :, :])\n",
    "\n",
    "        batch_offset.append(offset)\n",
    "        batch_mask.append(bbox_mask)\n",
    "        batch_cls_labels.append(cls_labels)\n",
    "\n",
    "    bbox_offset = torch.stack(batch_offset)\n",
    "    bbox_mask = torch.stack(batch_mask)\n",
    "    cls_labels = torch.stack(batch_cls_labels)\n",
    "\n",
    "    return [bbox_offset, bbox_mask, cls_labels]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 通过unsqueeze函数为锚框和真实边界框添加样本维\n",
    "labels = MultiBoxTarget(anchors.unsqueeze(dim=0), ground_truth.unsqueeze(dim=0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[0, 1, 2, 0, 2]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 返回的结果里有3项，均为Tensor。第三项表示为锚框标注的类别。\n",
    "labels[2] # 注意：0表示该anchor为背景 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.05364807, 0.        ],\n",
       "       [0.14172335, 0.        ],\n",
       "       [0.        , 0.56572384],\n",
       "       [0.        , 0.20588237],\n",
       "       [0.        , 0.745908  ]], dtype=float32)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 看一下交并比矩阵\n",
    "jaccard = compute_jaccard(anchors, ground_truth[:, 1:]).detach().cpu().numpy()\n",
    "jaccard"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "返回值的第二项为掩码（mask）变量，形状为(批量大小, 锚框个数的四倍)。掩码变量中的元素与每个锚框的4个偏移量一一对应。 由于我们不关心对背景的检测，有关负类的偏移量不应影响目标函数。通过按元素乘法，掩码变量中的0可以在计算目标函数之前过滤掉负类的偏移量。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 0., 0., 0., 0., 1., 1.,\n",
      "         1., 1.]])\n",
      "torch.Size([1, 20])\n"
     ]
    }
   ],
   "source": [
    "print(labels[1])\n",
    "print(labels[1].shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "返回的第一项是为每个锚框标注的四个偏移量，其中负类锚框的偏移量标注为0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-0.0000e+00, -0.0000e+00, -0.0000e+00, -0.0000e+00,  1.4000e+00,\n",
      "          1.0000e+01,  2.5940e+00,  7.1754e+00, -1.2000e+00,  2.6882e-01,\n",
      "          1.6824e+00, -1.5655e+00, -0.0000e+00, -0.0000e+00, -0.0000e+00,\n",
      "         -0.0000e+00, -5.7143e-01, -1.0000e+00,  4.1723e-06,  6.2582e-01]])\n",
      "torch.Size([1, 20])\n"
     ]
    }
   ],
   "source": [
    "print(labels[0])\n",
    "print(labels[0].shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 输出预测边界框\n",
    "在模型的预测阶段，我们先为图像生成多个锚框，并为这些锚框一一预测类别和偏移量。随后，我们根据锚框及其预测偏移量得到预测边界框。当锚框数量较多时，同一个目标上可能会输出较多相似的预测边界框。为了使结果更加简洁，我们可以移除相似的预测边界框。常用的方法叫作非极大值抑制（non-maximum suppression，NMS）。\n",
    "\n",
    "我们来描述一下非极大值抑制的工作原理。对于一个预测边界框B，模型会计算各个类别的预测概率。设其中最大的预测概率为p，该概率所对应的类别即B的预测类别。我们也将p称为预测边界框B的置信度。在同一图像上，我们将预测类别为非背景的预测边界框按置信度从高到低排序，得到列表L。从L中选取置信度最高的预测边界框B1作为基准，将所有与B1的交并比大于某阈值的非基准预测边界框从L中移除。这里的阈值是预先设定的超参数。此时，L保留了置信度最高的预测边界框并移除了与其相似的其他预测边界框。 接下来，从LL中选取置信度第二高的预测边界框B2作为基准，将所有与B2的交并比大于某阈值的非基准预测边界框从L中移除。重复这一过程，直到L中所有的预测边界框都曾作为基准。此时L中任意一对预测边界框的交并比都小于阈值。最终，输出列表L中的所有预测边界框。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 先构造4个锚框。\n",
    "# 简单起见，我们假设预测偏移量全是0：锚框即预测边界框。\n",
    "# 然后，我们构造每个类别的预测概率。\n",
    "\n",
    "anchors = torch.tensor([[0.1, 0.08, 0.52, 0.92], [0.08, 0.2, 0.56, 0.95],\n",
    "                        [0.15, 0.3, 0.62, 0.91], [0.55, 0.2, 0.9, 0.88]])\n",
    "offset_preds = torch.tensor([0.0] * (4*len(anchors)))\n",
    "cls_probs = torch.tensor([[0., 0., 0., 0.,],  # 背景的预测概率\n",
    "                          [0.9, 0.8, 0.7, 0.1],  # 狗的预测概率\n",
    "                          [0.1, 0.2, 0.3, 0.9]])  # 猫的预测概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
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   ],
   "source": [
    "# 在图像上打印预测边界框和它们的置信度\n",
    "fig = plt.imshow(img)\n",
    "show_bboxes(fig.axes, anchors*bbox_scale, ['dog=0.9', 'dog=0.8', 'dog=0.7', 'cat=0.9'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 实现MultiBoxDetection函数来执行非极大值抑制\n",
    "from collections import namedtuple\n",
    "\n",
    "Pred_BB_Info = namedtuple(\"Pred_BB_Info\", [\"index\", \"class_id\", \"confidence\", \"xyxy\"])\n",
    "\n",
    "def non_max_suppression(bb_info_list, nms_threshold = 0.5):\n",
    "    \"\"\"\n",
    "    非极大抑制处理预测的边界框\n",
    "    Args:\n",
    "        bb_info_list: Pred_BB_Info的列表, 包含预测类别、置信度等信息\n",
    "        nms_threshold: 阈值\n",
    "    Returns:\n",
    "        output: Pred_BB_Info的列表, 只保留过滤后的边界框信息\n",
    "    \"\"\"\n",
    "    output = []\n",
    "    # 先根据置信度从高到低排序\n",
    "    sorted_bb_info_list = sorted(bb_info_list, key=lambda x: x.confidence, reverse=True)\n",
    "    \n",
    "    while len(sorted_bb_info_list) != 0:\n",
    "        best = sorted_bb_info_list.pop(0)\n",
    "        output.append(best)\n",
    "        if len(sorted_bb_info_list) == 0:\n",
    "            break\n",
    "        bb_xyxy = []\n",
    "        for bb in sorted_bb_info_list:\n",
    "            bb_xyxy.append(bb.xyxy)\n",
    "        iou = compute_jaccard(torch.tensor([best.xyxy]), torch.tensor(bb_xyxy))[0] # shape: (len(sorted_bb_info_list), )\n",
    "        \n",
    "        n = len(sorted_bb_info_list)\n",
    "        sorted_bb_info_list = [sorted_bb_info_list[i] for i in range(n) if iou[i] <= nms_threshold]\n",
    "    return output\n",
    "\n",
    "\n",
    "def MultiBoxDetection(cls_prob, loc_pred, anchor, nms_threshold=0.5):\n",
    "    \"\"\"\n",
    "    按照以上讲的方法, anchor表示成归一化(xmin, ymin, xmax, ymax).\n",
    "    Args:\n",
    "        cls_prob: 经过softmax后得到的各个锚框的预测概率, shape:(bn, 预测总类别数+1, 锚框个数)。注意：这里并不是(bn, 锚框个数，预测总类别数+1)\n",
    "        loc_pred: 预测的各个锚框的偏移量, shape:(bn, 锚框个数*4), 其中4代表（center_x, center_y, w, h）\n",
    "        anchor: MultiBoxPrior输出的默认锚框, shape: (1, 锚框个数, 4), 其中4代表（x, y, x, y）\n",
    "        nms_threshold: 非极大抑制中的阈值\n",
    "    Returns:\n",
    "        所有锚框的信息, shape: (bn, 锚框个数, 6)\n",
    "        每个锚框信息由[class_id, confidence, xmin, ymin, xmax, ymax]表示\n",
    "        class_id=-1 表示背景或在非极大值抑制中被移除了\n",
    "    \"\"\"\n",
    "    assert len(cls_prob.shape) == 3 and len(loc_pred.shape) == 2 and len(anchor.shape) == 3\n",
    "    bn = cls_prob.shape[0] # bn理解为batch数\n",
    "\n",
    "    def MultiBoxDetection_one(c_p, l_p, anc, nms_threshold = 0.5):\n",
    "        \"\"\"\n",
    "        MultiBoxDetection的辅助函数, 处理batch中的一个\n",
    "        Args:\n",
    "            c_p: (预测总类别数+1, 锚框个数)\n",
    "            l_p: (锚框个数*4, )\n",
    "            anc: (锚框个数, 4)\n",
    "            nms_threshold: 非极大抑制中的阈值\n",
    "        Return:\n",
    "            output: (锚框个数, 6)\n",
    "        \"\"\"\n",
    "        pred_bb_num = c_p.shape[1] # 锚框个数\n",
    "        anc = (anc + l_p.view(pred_bb_num, 4)).detach().cpu().numpy() # 加上偏移量\n",
    "\n",
    "        confidence, class_id = torch.max(c_p, 0)\n",
    "        confidence = confidence.detach().cpu().numpy()\n",
    "        class_id = class_id.detach().cpu().numpy()\n",
    "\n",
    "        pred_bb_info = [Pred_BB_Info(\n",
    "                            index = i,\n",
    "                            class_id = class_id[i] - 1, # 正类label从0开始\n",
    "                            confidence = confidence[i],\n",
    "                            xyxy=[*anc[i]]) # xyxy是个列表\n",
    "                        for i in range(pred_bb_num)]\n",
    "\n",
    "        # 正类的index\n",
    "        obj_bb_idx = [bb.index for bb in non_max_suppression(pred_bb_info, nms_threshold)]\n",
    "\n",
    "        output = []\n",
    "        for bb in pred_bb_info:\n",
    "            output.append([\n",
    "                (bb.class_id if bb.index in obj_bb_idx else -1.0),\n",
    "                bb.confidence,\n",
    "                *bb.xyxy\n",
    "            ])\n",
    "\n",
    "        return torch.tensor(output) # shape: (锚框个数, 6)\n",
    "\n",
    "    batch_output = []\n",
    "    for b in range(bn):\n",
    "        batch_output.append(MultiBoxDetection_one(cls_prob[b], loc_pred[b], anchor[0], nms_threshold))\n",
    "\n",
    "    return torch.stack(batch_output)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然后我们运行MultiBoxDetection函数并设阈值为0.5。这里为输入都增加了样本维。我们看到，返回的结果的形状为(批量大小, 锚框个数, 6)。其中每一行的6个元素代表同一个预测边界框的输出信息。第一个元素是索引从0开始计数的预测类别（0为狗，1为猫），其中-1表示背景或在非极大值抑制中被移除。第二个元素是预测边界框的置信度。剩余的4个元素分别是预测边界框左上角的x和y轴坐标以及右下角的x和y轴坐标（值域在0到1之间）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[[ 0.0000,  0.9000,  0.1000,  0.0800,  0.5200,  0.9200],\n",
       "         [-1.0000,  0.8000,  0.0800,  0.2000,  0.5600,  0.9500],\n",
       "         [-1.0000,  0.7000,  0.1500,  0.3000,  0.6200,  0.9100],\n",
       "         [ 1.0000,  0.9000,  0.5500,  0.2000,  0.9000,  0.8800]]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "output = MultiBoxDetection(\n",
    "    cls_probs.unsqueeze(dim=0), offset_preds.unsqueeze(dim=0),\n",
    "    anchors.unsqueeze(dim=0), nms_threshold=0.5)\n",
    "output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 252x180 with 1 Axes>"
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   ],
   "source": [
    "fig = plt.imshow(img)\n",
    "for i in output[0].detach().cpu().numpy():\n",
    "    if i[0] == -1:\n",
    "        continue\n",
    "    label = ('dog=', 'cat=')[int(i[0])] + str(i[1]) # 类别 + 置信度\n",
    "    show_bboxes(fig.axes, torch.tensor(i[2:]) * bbox_scale, label) # torch.tensor(i[2:]) * bbox_scale应该是用到了广播(4,)*(1,4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "实践中，我们可以在执行非极大值抑制前将置信度较低的预测边界框移除，从而减小非极大值抑制的计算量。我们还可以筛选非极大值抑制的输出，例如，只保留其中置信度较高的结果作为最终输出。\n",
    "\n",
    "### 小结\n",
    "1、以每个像素为中心，生成多个大小和宽高比不同的锚框。\n",
    "\n",
    "2、交并比是两个边界框相交面积与相并面积之比。\n",
    "\n",
    "3、在训练集中，为每个锚框标注两类标签：一是锚框所含目标的类别；二是真实边界框相对锚框的偏移量。\n",
    "\n",
    "4、预测时，可以使用非极大值抑制来移除相似的预测边界框，从而令结果简洁。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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